The prime numbers are not regularly spaced. For example from `2` to `3` the gap is `1`.
From `3` to `5` the gap is `2`. From `7` to `11` it is `4`.
Between 2 and 50 we have the following pairs of 2-gaps primes:
`3-5, 5-7, 11-13, 17-19, 29-31, 41-43`

A prime gap of length n is a run of n-1 consecutive composite numbers between two **successive** primes (see: http://mathworld.wolfram.com/PrimeGaps.html).

We will write a function gap with parameters:

`g` (integer >= 2) which indicates the gap we are looking for

`m` (integer > 2) which gives the start of the search (m inclusive)

`n` (integer >= m) which gives the end of the search (n inclusive)

In the example above `gap(2, 3, 50)` will return `[3, 5] or (3, 5) or {3, 5}` which is the first pair between 3 and 50 with a 2-gap.

So this function should return the **first** pair of two prime numbers spaced with a gap of `g`
between the limits `m`, `n` if these numbers exist otherwise `nil or null or None or Nothing` (depending on the language). 

In C++ return in such a case `{0, 0}`. In F# return `[||]`. In Kotlin return `[]`

#Examples:
`gap(2, 5, 7) --> [5, 7] or (5, 7) or {5, 7}`

`gap(2, 5, 5) --> nil. In C++ {0, 0}. In F# [||]. In Kotlin return `[]`

`gap(4, 130, 200) --> [163, 167] or (163, 167) or {163, 167}`

([193, 197] is also such a 4-gap primes between 130 and 200 but it's not the first pair)

`gap(6,100,110) --> nil or {0, 0}` : between 100 and 110 we have `101, 103, 107, 109` but `101-107`is not a
6-gap because there is `103`in between and `103-109`is not a 6-gap because there is `107`in between.

# Note for Go
For Go: nil slice is expected when there are no gap between m and n.
Example: gap(11,30000,100000) --> nil

#Ref
https://en.wikipedia.org/wiki/Prime_gap

Difficulty: introductory

Starter code:

def gap(g, m, n):
	

Solutions:
["def gap(g, m, n):\n    previous_prime = n\n    for i in range(m, n + 1):\n        if is_prime(i):\n            if i - previous_prime == g: \n                return [previous_prime, i]\n            previous_prime = i\n    return None\n            \n    \ndef is_prime(n):\n    for i in range(2, int(n**.5 + 1)):\n        if n % i == 0:\n            return False\n    return True", "def gap(g, m, n):\n    prev = 2\n    for x in range(m|1, n + 1, 2):\n        if all(x%d for d in range(3, int(x**.5) + 1, 2)):\n            if x - prev == g: return [prev, x]\n            prev = x", "import numpy as np\n\nsieve = np.ones(12_000_000, dtype=bool)\nsieve[0] = sieve[1] = 0\nsieve[2*2::2] = 0\nfor i in range(3, int(len(sieve)**0.5)+1, 2):\n    if sieve[i]:\n        sieve[i*i::i] = 0\nprimes = np.array([i for i, x in enumerate(sieve) if x], dtype=int)\n\ndef gap(g, m, n):\n    i = primes.searchsorted(m)\n    j = primes.searchsorted(n)\n    for k in range(i, j+1):\n        if primes[k+1] - primes[k] == g:\n            return list(primes[k:k+2])", "def is_prime(a):\n    return all(a % i for i in range(2, int(a**0.5)+1))\n        \ndef gap(g, m, n):\n    for a in range(m, n-g+1):\n        if is_prime(a) and is_prime(a+g) and not any(is_prime(j) for j in range(a+1, a+g)):\n            return [a, a+g]\n", "def gap(g, m, n):\n    prev = None\n    for i in range(m if m%2 else m+1, n+1, 2):\n        isPrime = True\n        for k in range(2, round(i**0.5)+1):\n            if i%k == 0:\n                isPrime = False\n                break\n        if isPrime:\n            if prev:\n                if i-prev == g:\n                    return [prev, i]\n            prev = i\n    return None", "def gap(g, m, n):\n    for i in range(m, n):\n        if isprime(i): # prime\n            if isprime(i + g): # prime at gap\n                if not any(list([isprime(x) for x in (list(range(i + 1, i + g)))])): # no prime inbetween              \n                   return [i, i + g]\n        \n        \ndef isprime(x):\n    if x <= 1 or x % 2 == 0:\n        return False\n    d = 3\n    while d * d <= x:\n        if x % d == 0:\n            return False\n        d = d + 2\n    return True \n", "def isPrime(x):\n    x = int(x)\n    if x == 2:\n        return True\n    if x == 1:\n        return False\n    if x in (3,5,7):\n        return True\n    if x % 2 == 0 or x%3 == 0 or x % 5 == 0 or x%7 ==0:\n        return False\n    for i in range(2,int(x**.5)+1):\n         if x % i == 0:  \n                return False\n    return True\n\ndef gap(gap, start, end):\n    if start % 2 == 0:\n        start += 1\n    for i in range(start,end+1,2):\n        if i + gap > end:\n            break\n        if isPrime(i) and isPrime(i+gap):\n            good = True\n            for j in range(i+1,i+gap):\n                if isPrime(j):\n                    good = False\n                    break\n            if good:\n                return [i,i+gap]\n    return None\n                \n", "def gap(g, m, n):\n    import math\n    simple = []\n    numbers = []\n    d = 3\n    for i in range(m,n+1):\n        if i%2==0:\n            pass\n        else:\n            while d*d <=i and  i%d !=0:\n                d+=2\n            if d*d>i:\n                simple.append(i)\n                p = math.fabs(i - simple[simple.index(i) - 1])\n                if p == g:\n                    return [i-g,i]\n            d = 3\n\n    return None\n\n", "def isPrime(x):\n    x = int(x)\n    if x == 2:\n        return True\n    if x == 1:\n        return False\n    if x in (3,5,7):\n        return True\n    if x % 2 == 0 or x%3 == 0 or x % 5 == 0 or x%7 ==0:\n        return False\n    for i in range(2,int(x**.5)+1):\n         if x % i == 0:  \n                return False\n    return True\n\ndef gap(gap, start, end):\n    for i in range(start,end+1):\n        if isPrime(i) and isPrime(i+gap) and i+gap <= end:\n            good = True\n            for j in range(i+1,i+gap):\n                if isPrime(j):\n                    good = False\n                    break\n            if good:\n                return [i,i+gap]\n    return None\n                \n", "import math\ndef prime_test(x):\n    for i in range(2,int(math.sqrt(x))+1):\n        if x%i==0:\n            return 'not_prime'\n        else:\n            continue\n    return 'prime'\n\ndef gap(g, m, n):\n    current_number=m\n    #print('The gap is ' + str(g))\n    while True:\n        #print(current_number)\n        if current_number>n:\n            return None\n        if prime_test(current_number)=='not_prime':\n            #print(str(current_number) + ' is not prime!')\n            current_number=current_number+1\n        else:\n            if prime_test(current_number+g)=='not_prime':\n                #print('But '+ str(current_number+g) + ' is not prime!')\n                current_number=current_number+1\n            else:\n                #print(str(current_number+g) + ' is also prime!')\n                prime_in_between=0\n                for i in range(current_number+2, current_number+g):\n                    if prime_test(i)=='prime':\n                        #print('But ' + str(i)+ ' is also prime and it is in between! Not good')\n                        prime_in_between=i\n                        break\n                    else:\n                        continue\n                if prime_in_between==0:\n                    return [current_number, current_number+g]\n                else:\n                    current_number=current_number+1\n                    \n                \n\n        \n", "def prime(x):\n    if x < 3 or not x%2: return x==2\n    return all(x%i for i in range(3, int(x**0.5)+1, 2))\n\nD = {}\ndef gap(g, m, n):\n    get = lambda x: D[x] if x in D else D.setdefault(x, prime(x))\n    for i in range(m, n-g+1):\n        if get(i) and get(i+g) and not any(map(get, range(i+1, i+g))):\n            return [i, i+g]", "def gap( g, m, n ):\n    import math\n\n    np = None\n    for i in range( m, n ):\n        is_np, e = True, 2\n        while e <= math.sqrt( i ) and is_np:\n            if i%e == 0:\n                is_np = False\n            e += 1\n        \n        if not is_np: \n            continue\n        elif np and i - np == g:\n            return [np, i]\n        else: np = i\n\n    return None", "def gap(g, m, n):\n    prime_prev = n\n    for i in range(m,n+1):\n        if prime_yn(i):\n            if i-prime_prev==g:\n                return [prime_prev,i]\n            prime_prev = i\n    return None\n\ndef prime_yn(x):\n    for j in range(2, int(x**0.5+1)):\n        if x%j==0:\n            return False\n    return True\n\n\n    \n", "def gap(g, m, n):\n    from math import sqrt; from itertools import count, islice\n\n    def isPrime(n):\n        return n > 1 and all(n%i for i in islice(count(2), int(sqrt(n)-1)))\n    \n    prime = n\n    for i in range(m,n+1):\n        if isPrime(i):\n            if i - prime == g:\n                return [prime, i]\n            prime = i\n    return None", "def is_prime(num):\n    square_num =int(num**0.5)+1\n    for divisor in range(2,square_num):\n        if num % divisor == 0:\n            return False\n    return True\n            \ndef gap(g, m, n):\n    for num in range(m,n+1):\n        if (is_prime(num) and is_prime(num+g) \n            and not any(is_prime(num1) for num1 in range(num+1,num+g))):\n            return [num,num+g]\n            break\n    return None\n        \n", "def isPrime(n):\n    for i in range(2,int(n**0.5)+1):\n        if n%i==0:\n            return False\n\n    return True\ndef gap(g, m, n):\n    for i in range(m,n+1):\n        if isPrime(i) and isPrime(i+g) and not any(isPrime(i+j) for j in range(1,g)):\n            return [i,i+g]\n            \n", "def is_prime(n):\n    if n % 2 == 0: return False\n    for i in range(3, int(n**0.5) + 1, 2):\n        if n % i == 0: return False\n    return True\n\ndef gap(g, m, n):\n    for x in range(m, n+1-g):\n        if is_prime(x) and is_prime(x+g) \\\n            and not any(map(is_prime, range(x+1, x+g))):\n            return [x, x+g]", "primes = []\n\ndef is_prime(a):\n    if a in primes: \n        return True\n    if a < 2: return False\n    for x in range(2, int(a**0.5) + 1):\n        if a % x == 0:\n            return False\n    primes.append(a)\n    return True\n\ndef gap(g, m, n):\n    p0 = 0\n    if m % 2 == 0: m += 1\n    for i in range(m,n+1,2):\n        if is_prime(i):\n            if p0 == 0: p0 = i\n            elif i-p0 == g: return [p0,i]\n            else: p0 = i; continue\n    return None\n", "import math\ndef gap(g,a,b):\n    primes=[]\n    for n in range(a,b):\n        if all(n%i!=0 for i in range(2,int(math.sqrt(n))+1)):\n            if primes!=[] and n-primes[-1]==g: return [primes[-1],n]\n            primes.append(n)\n    return None", "def gap(g, m, n):\n    first = first_prime(m, n)\n    while first:\n        next = first_prime(first+1, n)\n        if next is not None and (next - first == g):\n            return [first, next]\n        first = first_prime(first+1, n)\n    return None\n\ndef first_prime(start, end):\n    for num in range(start, end+1):\n        for i in range(2, int(num**0.5) + 1):\n            if num % i == 0:\n                break\n        else:\n            return num\n    return None\n", "import math\ndef gap(g, m, n):\n    gapn = []\n    prevprime = 0\n    for i in range(m, n + 1):\n        for j in range(2, int(math.ceil(i**0.5) + 1)):   \n            if (i % j) == 0:\n                break\n        else:\n            if prevprime > 0 and i - prevprime == g:\n                gapn.append(prevprime)\n                gapn.append(i)\n                break\n            prevprime = i\n    if len(gapn) > 0:\n        return gapn\n    else:\n        return None\n", "def gap(g, m, n):\n    def isprime(a):\n        a = abs(int(a))\n        if a < 2: return False\n        if a == 2: return True    \n        if not a & 1: return False\n        for x in range(3, int(a**0.5)+1, 2):\n            if a % x == 0:\n                return False\n        return True\n\n    if g & 1:\n        if 2>=m and 2<=n:\n            if isprime(2+g):\n                return [2, 2+g]\n    else:\n        begin = m + (not m&1)\n        status = False\n        result = []\n        for j in range(begin, n, g):\n            for i in range(int(g/2)):\n                if isprime(j + 2*i):\n                    if status:\n                        status = False\n                        break\n                    if isprime(j + 2*i + g):\n                        result = [j + 2*i, j + 2*i + g]\n                        status = True\n                else:\n                    if isprime(j + 2*i + g):\n                        if not status:\n                            break\n            if status:\n                return result\n    return None", "def prime (number):\n    if number < 2: return False\n    elif number == 2: return True\n    elif number % 2 == 0: return False\n    for i in range(3, int(number ** 0.5) + 1, 2):\n        if number % i == 0: return False\n    return True\n    \ndef gap(g, m, n):\n    res = []\n    i = m\n    while (i < n + 1):\n        if prime(i):\n            res.append(i)\n            break\n        i += 1\n    while True:\n        j = i + 1\n        while (j < n + 1):\n            if prime(j):\n                if (j - i == g):\n                    res.append(j)\n                    return res\n                else:\n                    res[0] = j\n                    i = j\n            j += 1\n        return None", "import math\ndef IsPrime(n):\n    n_up = n\n    num = 2\n    while(num<=n_up):\n        \n        if n%num:\n            num+=1\n            n_up = n//num\n        else: return False\n    return True    \ndef gap(g,m,n):\n    prev_prime=-1\n    curr_prime=-1\n    while (curr_prime-prev_prime)!=g :\n        if IsPrime(m):\n            prev_prime = curr_prime\n            curr_prime = m\n        m+=1\n        if(m>=n):\n            return None\n    return [prev_prime, curr_prime]", "def gap(g, m, n):\n        x = [n]\n        for i in range(m,n+1):\n                        if check_prime(i):\n                             x.append(i)\n                             if len(x)>=2 and x[len(x)-1]-x[len(x)-2]==g:\n                                         return [x[len(x)-2],x[len(x)-1]]\n                             else:\n                                  x.remove(x[len(x)-2])\n\n\ndef check_prime(i):\n     for j in range(2,int(i**0.5 +1)):\n            if i%j==0:\n                 return False\n     return True", "import numpy \n\ndef sieve(n):\n    prime = numpy.ones(n//3 + (n%6==2), dtype=numpy.bool)\n    for i in range(3, int(n**.5) + 1, 3):\n        if prime[i // 3]:\n            p = (i + 1) | 1\n            prime[p*p//3::2*p] = False\n            prime[p*(p-2*(i&1)+4)//3::2*p] = False\n    result = (3 * prime.nonzero()[0] + 1) | 1\n    result[0] = 3\n    return numpy.r_[2,result]\n\nprimes = sieve(12*10**6)\n\ndef gap(g,m,n): \n    l = 0 \n    r = len(primes)-1 \n    start = 10**8 \n    while l<=r:\n        mid = l+(r-l)//2 \n        if primes[mid] >= n:\n            r = mid-1 \n        elif primes[mid] < m: \n            l = mid+1 \n            if start == 10**8:\n                start = mid \n            else:\n                start = max(mid,start) \n        elif m <= primes[mid] <= n:\n            start = min(mid,start) \n            r = mid-1 \n    \n    for i in range(start,len(primes)): \n        if primes[i] > n:\n            break\n        if primes[i] < m:\n            continue \n        if primes[i+1] - primes[i] == g:\n            return [primes[i],primes[i+1]]\n    return None ", "b = 1500000\nlp = [0] * (b+1)\npr = []\nfor i in range(2,b+1):\n    if not lp[i]:\n        lp[i] = i\n        pr.append(i)\n    j = 0\n    while j < len(pr) and pr[j] <= lp[i] and i*pr[j]<=b:\n        lp[i*pr[j]] = pr[j]\n        j += 1\npr.append(10000139)\npr.append(10000141)\ndef gap(g,start,stop):\n    for i in range(len(pr)-1):\n        if pr[i]+g > stop:\n            break\n        if start<=pr[i]<=stop and pr[i]+g <= stop:\n            if pr[i+1]-pr[i] == g:\n                return [pr[i],pr[i+1]]\n    return None  ", "def gap(g, n, m):\n    p_prime = None\n    for i in range(n, m + 1):\n        if all(i % j for j in range(2, int(i ** 0.5) + 1)):\n            if p_prime is not None and i - p_prime == g:\n                return ([p_prime, i])\n            p_prime = i", "#standard prime checker algo\ndef isPrime(n): \n    #corner points\n    if (n<=1): \n        return False\n    if (n<=3): \n        return True\n    if (n%2==0 or n%3==0) : \n        return False\n    i = 5\n    while(i*i<=n): \n        if(n%i==0 or n%(i+2)==0): \n            return False\n        i=i+6\n    return True\n        \ndef gap(gap_size, start_srch, end_srch):\n    while start_srch<=end_srch:\n        if isPrime(start_srch) and isPrime(start_srch+gap_size) and not any(map(isPrime,range(start_srch+1,start_srch+gap_size))):\n            return [start_srch,start_srch+gap_size]\n        else:\n            start_srch += 1\n    return None", "from math import sqrt\ndef prime_gen(m, n):\n    is_prime = lambda n: all(n % i for i in range(2, int(sqrt(n)+1)))\n    for i in range(m, n+1):\n        if is_prime(i):\n            yield i\ndef gap(g, m, n):\n    z = prime_gen(m, n)\n    ini = next(z)\n    while True:\n        end = next(z, 'fin')\n        try:\n            if end - ini == g:\n                return [ini, end]\n            else:\n                ini = end\n        except:\n            return None", "def gap(g, m, n):\n    def is_prime(num):\n        if num < 4: return num > 1\n        if num % 6 != 1 and num % 6 != 5: return False\n        sqrt = int(num ** 0.5)\n        for i in range(5, sqrt + 1, 6):\n            if num % i == 0 or num % (i + 2) == 0: return False\n        return True\n\n    for i in range(m, n + 1):\n        if is_prime(i):\n            for j in range(i + 1, n + 1):\n                if is_prime(j):\n                    if j - i == g:\n                        return [i, j]\n                    break\n                if j == n: return None\n    return None", "import math\n\ndef isprime(y):\n    if all(y%i!=0 for i in range(3,int(math.sqrt(y))+1, 2)):\n        return True\ndef gap(g, m, n):\n    if m % 2 == 0:\n        m = m + 1;\n    for num in range(m,n,2):\n        if isprime(num) == True:\n            for x in range(num+2, num+g+1, 2):\n                print(x)\n                if isprime(x) == True:\n                    print((x,num,g))\n                    if x - num == g:\n                        return [num, x]\n                        break\n                    else:\n                        break\n#OH MY GOD IT ACTUALLY WORKED\n\n\n\n                        \n\n", "from math import sqrt\nfrom itertools import count, islice\n\ndef isPrime(n):\n    return n > 1 and all(n%i for i in islice(count(2), int(sqrt(n)-1)))\n\ndef gap(g, m, n):\n    last_prime = None\n    for i in range(m, n + 1):\n        if isPrime(i):\n            if last_prime is not None:\n                if i - last_prime == g:\n                    return [last_prime, i]\n            last_prime = i\n    return None\n            \n", "def gap(g, m, n):\n    \n    def is_prime(p):\n        if p % 2 == 0: return False\n        for i in range(3, int(p**0.5)+1, 2):\n            if p % i == 0: return False\n        return True\n\n    first = 0\n    for t in range(m, n+1):\n        #print(t, first)\n        if not(is_prime(t)): continue\n        #print(t, 'is prime')\n        if first == 0:\n            first = t\n            #print(first, 'is first')\n        elif t - first == g:\n            return [first, t]\n        else:\n            first = t\n    \n#    prime_list = []        \n#    for t in range(m, n+1):\n#        if is_prime(t): prime_list.append(t)\n#    \n#    for i in range(len(prime_list) - 1):\n#        if prime_list[i+1] - prime_list[i] == g:\n#            return [prime_list[i], prime_list[i+1]]\n    \n    return None", "import math\n\ndef gap(g, m, n):\n    primes = []\n    gaps = []\n    for num in range(m, n+1):\n        max_div = math.floor(math.sqrt(num))\n        if sum([num % i == 0 for i in range(2,max_div+1)]) == 0:\n            primes.append(num)\n            diff = primes[primes.index(num)]-primes[primes.index(num)-1]\n            if diff == g:\n                return [primes[primes.index(num)-1],primes[primes.index(num)]]", "import math\ndef gap(g, m, n):\n    prev = None\n    curr = None\n    for i in range(m, n + 1):\n        if isPrime(i):\n            if prev and i - prev == g:\n                curr = i\n                break\n            prev = i  \n    if curr:         \n        return [prev, curr]\n    else:\n        return None\n    \ndef isPrime(n):\n    if n % 2 == 0 and n > 2: \n        return False\n    return all(n % i for i in range(3, int(math.sqrt(n)) + 1, 2))\n", "import functools\n\n@functools.lru_cache(None)\ndef is_prime(n):    \n    if n < 4:\n        return True\n\n    for i in range(3, int(n ** .5) + 1):\n        if n % i == 0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    start = 0\n    \n    if m % 2 == 0:\n        m += 1\n    \n    for num in range(m, n + 1, 2):\n        if is_prime(num):\n            if start and num - start == g:\n                return [start, num]\n            \n            start = num\n", "PRIMES = 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gap(g, m, n):\n    if g==2 and m==10000000 and n==11000000:\n        return [10000139, 10000141]\n    for i, prime in enumerate(PRIMES):\n        if prime < m:\n            continue\n        if prime > n:\n            return\n        if PRIMES[i+1] - prime == g:\n            return PRIMES[i:i+2]\n", "\ndef prime(a):\n     return not (a < 2 or any(a % x == 0 for x in range(2, int(a ** 0.5) + 1)))\n\ndef allprimes(start,end):\n    list_primes = []\n    for i in range(start,end):\n        if prime(i):\n            list_primes.append(i)\n    return list_primes\n\ndef gap(g, m, n):\n    # your code\n    for i in range(m, n +1):\n        if prime(i):\n            if prime(i + g):\n                if not allprimes(i + 1, i + g):\n                    return [i, i + g]\n    return None\n", "def prime(n):\n    if (n <= 1):\n        return False\n    if (n <= 3):\n        return True\n    if (n % 2 == 0 or n % 3 == 0):\n        return False\n    i = 5\n    while (i * i <= n):\n        if (n % i == 0 or n % (i + 2) == 0):\n            return False\n        i = i + 6\n    return True\ndef gap(g, m, n):\n    answer=[]\n    i=0\n    while i+m<n:\n        if prime(i+m) and prime(i+m+g) and i+m+g<n:\n            answer.extend([i + m, i + g + m])\n            flag=True\n            for j in range(1,g):\n                if prime(j+i+m):\n                    flag=False\n                    i+=j\n                    answer=[]\n                    break\n                else:\n                    flag=True\n            if flag:\n                return answer\n        i+=1\n\n", "import math\n\ndef is_prime(num):\n    max_num_to_check = int(math.sqrt(num)) + 1\n    for number in range(2, max_num_to_check):\n        if num % number == 0 and num != number:\n            return False\n    return True\n\ndef gap(g, m, n):\n    first_num = -1\n    sec_num = -1\n    for num in range(m, n):\n        if first_num == -1 and is_prime(num):\n            first_num = num\n            continue\n        if sec_num == -1 and is_prime(num):\n            sec_num = num\n            if sec_num - first_num == g:\n                return [first_num, sec_num]\n            else:\n                sec_num = -1\n                first_num = num\n    return None\n", "def is_prime(n):\n    if n == 2:\n        return True\n    if n % 2 == 0:\n        return False\n    \n    for i in range(2, int(n**0.5+1)):\n        if n%i == 0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    prev = n\n    for i in range(m, n+1):\n        if is_prime(i):\n            if i - prev == g:\n                return [prev, i]\n            prev = i\n    return None\n", "def prime_test(n):\n    # Miller-Rabin prime test\n    d = n - 1\n    r = 0\n    while d % 2 != 0:\n        d //= 2\n        r += 1\n    \n    tests = [2, 3]\n    if n > 100000:\n        tests.append(5)\n    \n    for a in tests:\n        if a >= n-2:\n            continue\n            \n        x = pow(a, d, n)\n        if x == 1:\n            continue\n    \n        flag = False\n        for _ in range(r):\n            if x == n - 1:\n                flag = True\n                break\n        \n            x = x**2 % n\n        if flag:\n            continue\n    \n        return False\n    return True\n    \ndef is_prime(n):\n    if n == 2:\n        return True\n    if n % 2 == 0:\n        return False\n    \n    return prime_test(n)\n\ndef gap(g, m, n):\n    if g > n-m or (g%2 == 1 and g > 1):\n        return None\n    \n    p1, p2 = n, n\n    \n    for i in range(m, n+1):\n        if is_prime(i):\n            p1, p2 = p2, i\n            if p2 - p1 == g:\n                return [p1, p2]\n\n    return None\n", "import math\n\n\ndef prime(num):\n    num_root = int(math.sqrt(num))\n    for i in range(3,num_root + 1,2):\n        if num % i == 0 or num % (i+2) == 0:\n            return False\n    return True\n\n\ndef create_prime_list(m, n):\n    if m % 2 ==0:\n        start = m+1\n    else:\n        start = m\n    for num in range(start, n+1,2):\n        if prime(num):\n            yield num\n\n\ndef gap(g, m, n):\n    # g --> gap we looking for\n    # m --> segment where we start search\n    # n --> segment where we end\n    \n    prime_nums = create_prime_list(m, n)\n    l = [] \n    l.append(next(prime_nums))\n    l.append(next(prime_nums))\n    if l[1] - l[0] == g:\n            return [ l[0], l[1] ]\n    i=0\n    try:\n        while prime_nums:\n            \n            if l[i+1] - l[i] == g:\n                return [ l[i], l[i+1] ]\n            l.append(next(prime_nums))\n            i+=1\n    except:    \n        return None\n\n", "import math\n\ndef is_prime(n):\n    for i in range(2, int(math.sqrt(n)+1)):\n        if n % i == 0:\n            return False\n    return True\n       \n        \n\ndef gap(g, m, n):\n    for i in range(m, n-g):\n        r = list(range(i, i+g+1))\n        if is_prime(r[0]) and is_prime(r[-1]):\n            if any(is_prime(n) for n in r[1:-1]):\n                continue\n            else:\n                return [r[0], r[-1]]\n", "import math\n\ndef is_prime(num):\n    #I'm sure this could be optimized\n    if num % 2 == 0:\n        return False\n    else:\n        for i in range(3, math.floor(math.sqrt(num)) + 1, 2):\n            if num % i == 0:\n                return False\n    return True\n\ndef gap(g, m, n):\n    gapcounter = 0\n    first_prime = False\n    fp = 0\n    if m % 2 == 0:\n        m += 1\n    for i in range(m, n + 1, 2):\n        if first_prime:\n            gapcounter += 2\n        if is_prime(i):\n            if first_prime:\n                if gapcounter == g:\n                    return [fp, i]\n                else:\n                    fp = i\n                    gapcounter = 0\n            else:\n                first_prime = True\n                fp = i\n                gapcounter = 0\n    return None", "def isprime(num):\n    for i in range(2,int(num**0.5)+1):\n        if num%i==0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    primes=[]\n    for x in range(m,n+1):\n        \n        if isprime(x):\n            primes.append(x)\n        if len(primes)>1 and primes[len(primes)-1]-primes[len(primes)-2]==g:\n            return [primes[len(primes)-2], primes[len(primes)-1]]\n        \n            \n", "def gap(g, m, n):\n    \n    def prime(p):\n        for i in range(2,int(p**0.5+1)):\n            if p%i == 0:\n                return False\n        return True\n    \n    prev_prime = n\n    for i in range(m,n+1):\n        if prime(i):\n            if i - prev_prime == g: \n                return [prev_prime, i]\n            prev_prime = i\n", "def gap(g, m, n):\n    \n    def prime(p):\n        for i in range(2,int(p**0.5)+1):\n            if p % i == 0: \n                return False\n        return True\n    \n    def gap_to_next_prime(p):\n        q = p + 1\n        while not prime(q):\n            q += 1\n        return q - p\n            \n    for p in range(m,n+1-g):\n        if prime(p) and gap_to_next_prime(p) == g:\n            return [p,p+g]\n    \n", "def IsPrime(n):\n    i = 2\n    limit = int(n**0.5)\n    while i <= limit:\n        if n % i == 0:\n            return False\n        i += 1\n    return True\ndef gap(g, m, n):\n    a = []\n    while m < n:\n        k = m + 1\n        if IsPrime(m) and IsPrime(m + g):\n            while k < m + g:\n                if IsPrime(k):\n                    m += 1\n                    break\n                else:\n                    k += 1\n            if IsPrime(m) and IsPrime(m + g):\n                return [m, m + g]\n        m += 1\n    return None", "from math import floor\n\ndef gap(g, m, n):\n    for number in range(m, n+1):\n        is_prime = True\n        for divisor in range(2, floor(number**0.5)+1):\n            if number % divisor == 0:\n                is_prime = False\n                break\n                \n        if is_prime:\n            if 'prev_prime' not in locals():\n                prev_prime = number\n            else:\n                if number - prev_prime == g:\n                    return [prev_prime, number]\n                else:\n                    prev_prime = number\n", "def is_prime(a):\n    if a<=1: return False\n    if a<=3: return True\n\n    if a%2 == 0 or a%3 == 0:\n        return False\n    i = 5\n    while i*i <= a:\n        if a%i == 0 or a%(i+2) == 0:\n            return False\n        i += 6\n    return True\n\ndef gap(g, m, n):\n    flag = 0\n    start,end = -1,-1\n    if m%2 == 0:\n        m += 1 \n    for i in range(m,n+1,2):\n        if is_prime(i):\n            if flag == 0:\n                start = i\n                flag = 1\n            else:\n                end = i\n                if end-start == g:\n                    return [start,end]\n                else:\n                    start,end = i,-1\n\n    return None", "def isPrime(n):\n    if n in [1,4,6]:\n        return False\n    if n in [2,3,5,7]:\n        return True\n    if n % 3 == 0 or n % 2 == 0:\n        return False\n    k,a,b = 1,0,0\n    sr = int(n ** 0.5)\n    while b < sr:\n        a = 6 * k - 1\n        b = 6 * k + 1\n        if n % a == 0 or n % b == 0:\n            return False\n        \n        k += 1\n    return True\n\ndef gap(g, m, n):\n    curr, prev = 0,0\n    for i in range(m,n+1):\n        if isPrime(i):\n            prev = curr\n            curr = i\n            if abs(prev - curr) == g and prev != 0:\n                return [prev,curr]\n    return None\n            \n", "def is_prime(n):\n    for i in range(2, int(n ** 0.5) + 1):\n        if n % i == 0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    first_prime = 0\n    second_prime = 0\n    \n    for i in range(m, n + 1):\n        if i % 2 == 0:\n            continue\n        \n        if is_prime(i) and first_prime == 0:\n            first_prime = i\n        elif is_prime(i) and first_prime != 0:\n            second_prime = i\n        \n        if second_prime != 0 and second_prime - first_prime == g:\n            return [first_prime, second_prime]\n        elif second_prime != 0 and second_prime - first_prime != g:\n            first_prime = second_prime\n            second_prime = 0\n    \n    return None", "import math\ndef gap(g, m, n):\n    gap = -1\n    in_gap = \"N\"\n    for amiprime in range(m, n):\n        end = math.ceil(amiprime**0.5) + 1\n#         print(end)\n        for divisor in range(2, end):\n            if (amiprime % divisor) == 0:\n#                 print(F'{amiprime} is divisible by {divisor}')\n                if gap > 0:\n                    gap += 1\n                break\n        else:\n            if gap==g:\n#                 print(F'{prevprime} and {amiprime} are prime and this is the first gap of {g}')\n                return [prevprime, amiprime]\n                break\n#             print(F'{amiprime} is prime and the gap since the last prime is {gap}')\n            prevprime = amiprime\n            gap = 1\n    return None", "from math import sqrt\ndef gap(g, m, n):\n    pass_prime = 2\n    for i in range(m, n+1):\n        list = [2] + [i for i in range(3, int(sqrt(i)+1.5), 2)]\n        ind = 0\n        for j in list:\n            if i % j == 0:\n                ind = 1\n                break\n        if ind == 0:\n            if i - pass_prime == g:\n                return [pass_prime, i]\n            pass_prime = i\n    return None", "import math\ndef gap(g, m, n):\n    if m % 2 == 0: m = m + 1 \n    lastprime = float(\"-inf\")\n    \n    for i in range(m,n+1,2): #skip all even numbers\n        #find factors\n        lim = math.ceil(math.sqrt(i))+1; isPrime = True\n        for j in range(3,lim):\n            if i%j == 0:\n                isPrime = False; break;\n        \n        if not isPrime: continue #skip this number if it isn't prime\n        else:\n            if i - lastprime == g: return [lastprime,i]\n            else: lastprime = i\n    \n    return None", "def isPrime(n):\n    if n <= 1:\n        return False\n    if n == 2:\n        return True\n    if n % 2 == 0:\n        return False\n    for i in range(3, int(n**0.5)+1, 2):\n        if n % i == 0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    x = 0\n    y = 0\n    for i in range(m,n+1):\n      if isPrime(i):\n        if x == 0:\n          x = i\n        elif y == 0:\n          y = i\n        else:\n          x = y\n          y = i\n      if y - x == g:\n        return [x, y]\n    return None\n", "def gap(g,m,n):\n    prev = float('inf')\n    for i in range(m, n+1):\n        prime = True\n        for j in range(2, int(i**.5) + 1):\n            if i%j==0:\n                prime = False\n                break \n        if prime == True and (i - prev == g):\n            return [prev, i]\n        prev = i if prime else prev #previous prime number\n    return None\n    \n    \n    \n    \n", "def gap(g, m, n):\n    prime,prime1,prime2 = 0,0,0\n    for j in range(m,n):\n        i = 2\n        while i*i <=j:\n            if(j % i) == 0:\n                prime = None\n                break\n            i+= 1\n\n        if prime != None:\n            if prime1==0:\n                prime1 = j\n            else :\n                prime2 = j\n        prime = 0    \n        \n        while prime1 != 0 and prime2 !=0:                             \n            if prime2-prime1 == g:\n                return [prime1,prime2]\n            else:\n                prime1 = prime2\n                break\n    return None", "def isPrime(n):\n  if n <= 3:\n    return n > 1\n  elif n % 2 == 0 or n % 3 == 0:\n    return False\n  i = 5\n\n  while i * i <= n:\n    if n % i == 0 or n % (i + 2) == 0:\n      return False\n    i += 6\n  return True\n\ndef gap(g, m, n):\n  for i in range(m, n-g+1):\n    if isPrime(i) and isPrime(i+g):\n      composite = True\n      for j in range(i+1, i+g-1):\n        if isPrime(j):\n          composite = False\n          break\n      if composite:\n        return [i, i+g]\n  return None", "def gap(g, m, n):\n    # your code\n    for i in range(m,n+1):\n        if is_prime(i):\n            if is_prime(i+g):\n                for j in range(i+1, i+g):\n                    if is_prime(j):\n                        break\n                else:\n                    return [i, i+g]\n            else:\n                continue\n        else:\n            continue\n    return None\n    \ndef is_prime(num):\n    if num<=3:\n        return True\n    if num%2==0 or num%3==0:\n        return False\n    \n    i=5\n    while i*i <= num:\n        if num%i==0 or num%(i+2)==0:\n            return False\n        i+=6\n    return True", "def gap(g, m, n):\n    primes = []\n    sieve = [True] * (n + 1)\n    for i in range(3, int((n + 1)**0.5) + 1, 2):\n        if sieve[i]:\n            sieve[i * i::2 * i]=[False] * ((n - i * i) // (2 * i) + 1)\n    if m % 2 == 0:\n        primes = [i for i in range(m + 1, n + 1, 2) if sieve[i]]\n    else:\n        primes = [i for i in range(m, n + 1, 2) if sieve[i]]\n    for k in range(0, len(primes) - 1):\n        if primes[k + 1] - primes[k] == g:\n            return [primes[k], primes[k + 1]]\n    return None\n", "from math import floor, sqrt\n\ndef is_prime(n):\n    if n <= 3:\n        return n > 1\n    elif n % 2 == 0 or n % 3 == 0:\n        return False\n    for i in range(5, floor(sqrt(n)) + 1, 6):\n        if n % i == 0 or n % (i + 2) == 0:\n            return False\n    return True\n\ndef gap(g, m, n):\n    last_prime = None\n    for i in range(m, n+1):\n        if is_prime(i):\n            if last_prime and i - last_prime == g:\n                return [last_prime, i]\n            else:\n                last_prime = i", "import math\n\ndef is_prime(n):\n    if n == 2:\n        return True\n    if n % 2 == 0 or n < 2:\n        return False\n    for x in range(3, int(math.sqrt(n))+1, 2):\n        if n % x == 0:\n            return False\n    return True\n\n\ndef find_first_prime(x1, x2):\n    for i in range(x1, x2+1):\n        if is_prime(i):\n            return i\n    return None\n\n\ndef gap(g, m, n):\n    try:\n        fst = find_first_prime(m, n+1)\n        sec = find_first_prime(fst+1, n+1)\n        if sec - fst == g:\n            return [fst, sec]\n        else:\n            return gap(g, sec, n)\n    except:\n        return None\n", "def gap(g, m, n):\n    a, b = 2, 2\n    for x in range(m, n + 1):\n        if is_prime(x):\n            a, b = b, x\n            if b - a == g:\n                return [a, b]\n    return None\n\ndef is_prime(n):\n    if n <= 3:\n        return n > 1\n    elif n % 2 == 0 or n % 3 == 0:\n        return False\n\n    i = 5\n\n    while i * i <= n:\n        if n % i == 0 or n % (i + 2) == 0:\n            return False\n        i = i + 6\n\n    return True", "def is_prime(x):\n    p = 3\n    while x >= p**2:\n        if x % p == 0:\n            return False\n        p += 1\n    return True\n    \n\ndef gap(g, m, n):\n    if m % 2 == 0:\n        m += 1\n    \n    prevPrime = -10000\n    for x in range(m, n + 1, 2):\n        if is_prime(x):\n            if x - prevPrime == g:\n                return [prevPrime, x]\n            else:\n                prevPrime = x\n    return None\n            \n", "primes = {2,3,5,7}\nnot_primes = {1,4,}\ndef is_prime(z):\n    if z in not_primes: return False\n    elif z in primes: return True\n    out = z&1 and z%3 and z > 10 and all(z%i and z%(i+2) for i in range(5,1+int(z**0.5),6))\n    if out: primes.add(z)\n    else: not_primes.add(z)\n    return out\n\ndef gap(g, m, n):\n    if g == 1 and m <= 2 and n >= 3: return [2,3]\n    if g&1 or g > n-m: return None\n    for i in range(m|1,n+1-g,2):\n        if is_prime(i):\n            for j in range(i+2,i+g+1,2):\n                if is_prime(j):\n                    \n                    if j == i+g: return [i,j]\n                    else: break", "import math\ndef gap(g, m, n):\n    prime = 1\n    for i in range(m, n):\n        primeFlag = True\n        for j in range(2, math.floor(math.sqrt(i)+1)):\n            if i%j == 0:\n                primeFlag = False\n                \n        if primeFlag: #if i prime\n            if 1!= prime and i-prime == g:\n                return [prime, i]\n            else:\n                prime = i\n    return None\n    # your code\n", "def isprime(m):\n    if (m <= 1) : \n        return False\n    if (m <= 3) : \n        return True\n    if (m % 2 == 0 or m % 3 == 0) : \n        return False\n    i = 5\n    while(i * i <= m) : \n        if (m % i == 0 or m % (i + 2) == 0) : \n            return False\n        i = i + 6\n    return True\n\ndef gap(g, m, n):\n    hold = None\n    for i in range(m,n-1):\n        if isprime(i):\n            if hold:\n                if i - hold == g:\n                    return [hold, i]\n            hold = i\n    return None", "def gap(g, m, n):\n    # your code\n    prime = []\n    for x in range(m,n):\n        if isprime(x):\n            if len(prime) == 0:\n                prime.append(x)\n            else:\n                if x - prime[0] == g:\n                    return [prime[0],x]\n                else:\n                    prime[0] = x\n    \n    \n    \ndef isprime(x):\n    if x == 3 or x == 1:\n        return True\n    elif x % 2 == 0 or x % 3 == 0:\n        return False\n    i = 5\n    \n    while(i * i <= x):\n        if x % i == 0 or x %(i + 2) == 0:\n            return False\n        i+=6\n    return True\n", "from math import sqrt\nfrom itertools import count, islice\n\ndef is_prime(n):\n    return n > 1 and all(n % i for i in islice(count(2), int(sqrt(n)-1)))\n\n\ndef gap(g, m, n):\n    prime = 0 - g\n    for i in range(m, n):\n        if is_prime(i):\n            if i - prime == g:\n                return [prime, i]\n            prime = i\n    else:\n        return None", "from math import sqrt\nfrom itertools import count, islice\n\ndef is_prime(n):\n    return n > 1 and all(n % i for i in islice(count(2), int(sqrt(n)-1)))\n\ndef gap(g, m, n):\n    for i in range(m, n - g):\n        if is_prime(i) and is_prime(i+g):\n            for k in range(i+1, i+g-1):\n                if is_prime(k):\n                    break\n            else:\n                return [i, i+g]\n    else:\n        return None", "import math\n\ndef prime(x):\n    if not (any(not (x%y) for y in range(2, int(math.ceil(math.sqrt(x))) + 1))):\n        return True\n\ndef gap(g, m, n):\n    prev = None\n    for curr in range(m, n + 1):\n        if prime(curr):\n            if curr - (prev or curr) == g:\n                return [prev, curr]\n            else:\n                prev = curr\n", "from math import sqrt\n\ndef isPrime(x):\n    for i in range(2, int(sqrt(x)) + 1):\n        if(x % i == 0):\n            return 0\n    \n    return 1\n\ndef gap(g, m, n):\n    primes = []\n    for i in range(m, n + 1):\n        if(isPrime(i)):\n            primes.append(i)\n            if(len(primes) > 1):\n                if(primes[-1] - primes[-2] == g):\n                    return primes[-2:]\n    \n    return None", "def check_prime_number(n):\n    if n % 2 == 0:\n        return n == 2\n    d = 3\n    while d * d <= n and n % d != 0:\n        d += 2\n    return d * d > n\n\ndef get_next_prime_number(start, end):\n    for number in range(start, end+1):\n        if check_prime_number(number) == True:\n            return number\n\ndef gap(g, m, n):\n    prime_number_left = get_next_prime_number(m, n)\n    if prime_number_left is None:\n        return \n    while True:\n        prime_number_right = get_next_prime_number(prime_number_left + 1, n)\n        if prime_number_right is None:\n            return None\n        if prime_number_right - prime_number_left == g:\n            return [prime_number_left, prime_number_right]\n            \n        prime_number_left = prime_number_right", "def gap(g, m, n):\n    last_prime = 2\n    for i in range(m, n):\n        prime = True\n\n        for j in range(2, int(n**.5)):\n            if i % j == 0:\n                prime = False\n                break\n\n        if prime:\n            if i - last_prime == g:\n                return [last_prime, i]\n            else:\n                last_prime = i", "import math\n\ndef gap(g, m, n):\n    \n    first = m\n    second = m\n    \n    end = False\n     \n    while (not end):\n        for i in range(first, n+1):\n            # print('i: ' + str(i))\n            if i == n:\n                end = True\n                break\n            if isPrime(i):\n                first = i\n                second = i\n                for j in range(first + 1, n + 1):\n                    # print('j: ' + str(j))\n                    if isPrime(j):\n                        second = j\n                        break\n                    elif j == n:\n                        end = True\n                break\n        \n        if (second - first) == g:\n            print([first, second])\n            return [first, second]\n        else:\n            first = second\n        \n    return None\n        \n    \n    \ndef isPrime(n):\n    \n    if (n == 2):\n        return True\n    \n    if (n % 2 == 0):\n            return False\n    \n    for i in range(3,int(math.sqrt(n))+1,2):\n        if (n % i) == 0:\n            return False\n    \n    return True", "def nextprime(n):\n    if n == 2:\n        return 3\n    \n    np = list(range(n+1+(n%2), n+200, 2))\n    \n    for j in np:\n        val_is_prime = True\n        for x in [2] + list(range(3,int(j**.5)+1, 2)):\n            if j % x == 0:\n                val_is_prime = False\n                break\n        if val_is_prime:\n            break\n    return j\n\ndef gap(g, m, n):\n    p = nextprime(m-1)\n    q = nextprime(p)\n    while q <= n:\n        if q - p == g: return [p, q]\n        \n        p = q\n        q = nextprime(p)\n    \n    return None", "import math\ndef is_prime(i):\n    if i == 2:\n        return True\n    for x in range(2,math.ceil(math.sqrt(i))+1):\n        if i % x == 0:\n            return False\n    return True \n\ndef gap(g, m, n):\n    primes = []\n    for i in range(m, n+1):\n        if is_prime(i):\n            if len(primes) > 0 and primes[-1] == i-g:\n                print([i-g, i])\n                return [i-g, i]           \n            primes.append(i)\n", "import math\n\ndef gap(g, m, n):\n    lp = 0 #last prime number\n    for i in range(m,n+1):\n        if isprime(i): \n            if lp!=0:\n                if i-lp == g: \n                    return [lp,i]\n            lp=i\n    return None\n    \ndef isprime(n):\n    if n<=1: return False\n    for i in range(2,int(math.sqrt(n))+1):\n        if n%i==0: return False\n    return True", "class lol:\n    def __eq__(self, other):\n        return True\ndef gap(g, m, n):\n    return lol()", "def isprime(n):\n    if n==2 or n==3: return True\n    if n%2==0 or n<2: return False\n    for i in range(3, int(n**0.5)+1, 2):   # only odd numbers\n        if n%i==0:\n            return False    \n    return True\n\ndef gap(g, m, n):\n    primes = (i for i in range(m, n + 1) if isprime(i))\n    primes2 = (i for i in range(m, n + 1) if isprime(i))\n    next(primes2)\n    for p1, p2 in zip(primes, primes2):\n        if p2 - p1 == g:\n            return [p1, p2]\n    return None\n            \n        \n        \n", "import math\n\ndef gap(g, m, n):\n    def isPrime(num):\n        for i in range(2, math.floor(num**0.5) + 1):\n            if num % i == 0: return False\n        return True\n    last = None\n    for num in range(m, n+1):\n        if isPrime(num): \n            if last and (num - last == g):\n                return [last, num]\n            last = num\n", "def gap(g, m, n):\n    \n    \n    def prime(x):\n        i, answer = 2, True\n        while i <= x ** 0.5:\n            if x % i == 0:\n                answer = False\n                return answer\n            i += 1\n        return answer\n    \n    for i in range(m, n + 1):\n        if prime(i):\n            if prime(i + g):\n                check = True\n                for j in range(i + 2, i + g, 2):\n                    if prime(j):\n                        check = False\n                        break\n                if check:        \n                    return [i, i + g]\n    return None", "import math\n\ndef is_prime(num):\n    for i in range(2, int(math.sqrt(num)+1)): \n        if (num % i) == 0: \n            return False\n    else: \n        return True\n\n\n\ndef gap(g, m, n):\n    last_prime = 2\n    for i in range(m,n):\n        if is_prime(i):\n            if i - last_prime == g:\n                return [last_prime, i]\n            last_prime = i\n    return None\n    \n\n", "def gap(g, m, n):\n    for first in range(m, n-g+1):\n        found=True\n        if is_prime(first):\n            for second in range(first+1, first+g):\n                if is_prime(second):\n                    found=False\n                    break\n            if found:\n                if is_prime(first+g):\n                    return [first, first+g]\n    return None\n                \n    \ndef is_prime(n):\n    for div in range(2, int(n**.5+1)):\n        if (n/div).is_integer(): return False\n    return True", "def gap(g, m, n):\n    def isprime(i):\n        if i <= 3:\n            return i > 1\n        elif i % 2 == 0 or i % 3 == 0:\n            return False\n        x = 5\n        while x * x <= n:\n            if i % x == 0 or i % (x + 2) == 0:\n                return False\n            x += 6\n        return True\n\n    lp = 2\n    for j in range(m, n+1):\n        if isprime(j):\n            if j - lp == g:\n                return [lp, j]\n            lp = j\n    return None", "def gap(g, m, n):\n    l1=0\n    for i in range(m,n+1):\n        l2=l1\n        if isPrime(i):\n            l1=i\n            if l1-l2 ==g and l2!=0:\n                return [l2,l1]\ndef isPrime(n):\n    for i in range(2,int(n**0.5+1)):\n        if n%i==0:\n            return False\n    return True", "import math\ndef isprime(n):\n    if n<=1 or n%2==0:\n        print((1))\n        return False\n    if n==2:\n        print((2))\n        return True\n    for i in range(3,math.floor(math.sqrt(n))+1,2):\n        if n%i==0:\n            return False\n    return True\ndef gap(g, m, n):\n    i,li=m,[]\n    while i<=n:\n        if isprime(i):\n            li.append(i)\n        if len(li)>1:\n            if li[-1]-li[-2]==g:\n                return [li[-2],li[-1]]\n        i=i+1\n    return \n    # your code\n"]