Consider the range `0` to `10`. The primes in this range are: `2, 3, 5, 7`, and thus the prime pairs are: `(2,2), (2,3), (2,5), (2,7), (3,3), (3,5), (3,7),(5,5), (5,7), (7,7)`.

Let's take one pair `(2,7)` as an example and get the product, then sum the digits of the result as follows:  `2 * 7 = 14`, and `1 + 4 = 5`. We see that `5` is a prime number. Similarly, for the pair `(7,7)`, we get: `7 * 7 = 49`, and `4 + 9 = 13`, which is a prime number. 

You will be given a range and your task is to return the number of pairs that revert to prime as shown above. In the range `(0,10)`, there are only `4` prime pairs that end up being primes in a similar way: `(2,7), (3,7), (5,5), (7,7)`. Therefore, `solve(0,10) = 4)`

Note that the upperbound of the range will not exceed `10000`. A range of `(0,10)` means that: `0 <= n < 10`.

Good luck!

If you like this Kata, please try 

[Simple Prime Streaming](https://www.codewars.com/kata/5a908da30025e995880000e3)

[Prime reduction](https://www.codewars.com/kata/59aa6567485a4d03ff0000ca)

[Dominant primes](https://www.codewars.com/kata/59ce11ea9f0cbc8a390000ed)

Difficulty: introductory

Starter code:

def solve(a, b):
	

Solutions:
import itertools

def solve(a, b):
    primes = set([2] + [n for n in range(3, b, 2) if all(n % r for r in range(3, int(n**0.5)+1, 2))])
    return sum( sum(map(int, str(x*y))) in primes for x, y in itertools.combinations_with_replacement([p for p in primes if a <= p < b], 2) )

from bisect import bisect_left

def sieve(n):
    sieve, primes = [0]*(n+1), []
    for i in range(2, n+1):
        if not sieve[i]:
            primes.append(i)
            for j in range(i**2, n+1, i): sieve[j] = 1
    return primes

PRIMES = sieve(10000)
SET_PRIMES = set(PRIMES)

def solve(a,b):
    p1, p2 = bisect_left(PRIMES, a), bisect_left(PRIMES, b)
    return sum( sum(map(int, str(p*q))) in SET_PRIMES for i,p in enumerate(PRIMES[p1:p2],p1) for q in PRIMES[i:p2])

from itertools import combinations_with_replacement as replacements


primes = {2}
sieve = [True] * 5000
for i in range(3, 102, 2):
    if sieve[i // 2]:
        sieve[i * i // 2 :: i] = [False] * ((10001 - i * i - 1) // (2 * i) + 1)
primes.update((2 * i + 1) for i in range(1, 5000) if sieve[i])


def solve(a, b):
    pairs = replacements(set(range(a, b)) & primes, 2)
    return sum(1 for p, q in pairs if sum(int(d) for d in str(p * q)) in primes)


from itertools import compress, combinations_with_replacement
import numpy as np


s = np.ones(10001)
s[:2] = s[4::2] = 0
for i in range(3, int(len(s)**0.5)+1, 2):
    if s[i]:
        s[i*i::i] = 0
PRIMES = list(compress(list(range(len(s))), s))

def solve(a, b):
    i, j = np.searchsorted(PRIMES, a), np.searchsorted(PRIMES, b)
    return sum(s[sum(map(int, str(x * y)))] for x, y in combinations_with_replacement(PRIMES[i:j], 2))


from itertools import combinations_with_replacement
find_prime=lambda n:all(n % i for i in range(2, int(n ** .5) + 1)) and n > 1
solve=lambda s,e:len([1for i in combinations_with_replacement([i for i in range(s,e)if find_prime(i)],2)if find_prime(sum(map(int,str(i[0]*i[1]))))])

import math
import itertools

def is_prime(num):
    return num > 1 and all(num % i for i in range(2, num if num < 53 else math.ceil(math.sqrt(num)) + 1))

def solve(a,b):
    return len([cb for cb in itertools.combinations_with_replacement([i for i in range(a, b) if is_prime(i)], 2) if is_prime(sum([int(c) for c in str(cb[0] * cb[1])]))])

from itertools import combinations_with_replacement
def solve(a,b):
    return sum( sum(digits(p1*p2)) in setprimes for p1,p2 in combinations_with_replacement(sprime(a,b),r=2) )

def digits(n):
    while n:
        yield (n%10)
        n //=10

primes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647,8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831,8837,8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,9587,9601,9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,9967,9973,10007]
setprimes = set(primes)
def sprime(a,b):
    for p in primes:
        if p>= b: break
        if p>= a: yield p

from itertools import combinations_with_replacement
def solve(a,b):
    return sum(sum(c for c in digits(p1*p2)) in setprimes for p1,p2 in combinations_with_replacement(sprime(a,b),r=2))

def digits(n):
    while n:
        yield (n%10)
        n //=10

primes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8287,8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2139,42157,42169,42179,42181,42187,42193,42197,42209,42221,42223,42227,42239,42257,42281,42283,42293,42299,42307,42323,42331,42337,42349,42359,42373,42379,42391,42397,42403,42407,42409,42433,42437,42443,42451,42457,42461,42463,42467,42473,42487,42491,42499,42509,42533,42557,42569,42571,42577,42589,42611,42641,42643,42649,42667,42677,42683,42689,42697,42701,42703,42709,42719,42727,42737,42743,42751,42767,42773,42787,42793,42797,42821,42829,42839,42841,42853,42859,42863,42899,42901,42923,42929,42937,42943,42953,42961,42967,42979,42989,43003,43013,43019,43037,43049,43051,43063,43067,43093,43103,43117,43133,43151,43159,43177,43189,43201,43207,43223,43237,43261,43271,43283,43291,43313,43319,43321,43331,43391,43397,43399,43403,43411,43427,43441,43451,43457,43481,43487,43499,43517,43541,43543,43573,43577,43579,43591,43597,43607,43609,43613,43627,43633,43649,43651,43661,43669,43691,43711,43717,43721,43753,43759,43777,43781,43783,43787,43789,43793,43801,43853,43867,43889,43891,43913,43933,43943,43951,43961,43963,43969,43973,43987,43991,43997,44017,44021,44027,44029,44041,44053,44059,44071,44087,44089,44101,44111,44119,44123,44129,44131,44159,44171,44179,44189,44201,44203,44207,44221,44249,44257,44263,44267,44269,44273,44279,44281,44293,44351,44357,44371,44381,44383,44389,44417,44449,44453,44483,44491,44497,44501,44507,44519,44531,44533,44537,44543,44549,44563,44579,44587,44617,44621,44623,44633,44641,44647,44651,44657,44683,44687,44699,44701,44711,44729,44741,44753,44771,44773,44777,44789,44797,44809,44819,44839,44843,44851,44867,44879,44887,44893,44909,44917,44927,44939,44953,44959,44963,44971,44983,44987,45007,45013,45053,45061,45077,45083,45119,45121,45127,45131,45137,45139,45161,45179,45181,45191,45197,45233,45247,45259,45263,45281,45289,45293,45307,45317,45319,45329,45337,45341,45343,45361,45377,45389,45403,45413,45427,45433,45439,45481,45491,45497,45503,45523,45533,45541,45553,45557,45569,45587,45589,45599,45613,45631,45641,45659,45667,45673,45677,45691,45697,45707,45737,45751,45757,45763,45767,45779,45817,45821,45823,45827,45833,45841,45853,45863,45869,45887,45893,45943,45949,45953,45959,45971,45979,45989,46021,46027,46049,46051,46061,46073,46091,46093,46099,46103,46133,46141,46147,46153,46171,46181,46183,46187,46199,46219,46229,46237,46261,46271,46273,46279,46301,46307,46309,46327,46337,46349,46351,46381,46399,46411,46439,46441,46447,46451,46457,46471,46477,46489,46499,46507,46511,46523,46549,46559,46567,46573,46589,46591,46601,46619,46633,46639,46643,46649,46663,46679,46681,46687,46691,46703,46723,46727,46747,46751,46757,46769,46771,46807,46811,46817,46819,46829,46831,46853,46861,46867,46877,46889,46901,46919,46933,46957,46993,46997,47017,47041,47051,47057,47059,47087,47093,47111,47119,47123,47129,47137,47143,47147,47149,47161,47189,47207,47221,47237,47251,47269,47279,47287,47293,47297,47303,47309,47317,47339,47351,47353,47363,47381,47387,47389,47407,47417,47419,47431,47441,47459,47491,47497,47501,47507,47513,47521,47527,47533,47543,47563,47569,47581,47591,47599,47609,47623,47629,47639,47653,47657,47659,47681,47699,47701,47711,47713,47717,47737,47741,47743,47777,47779,47791,47797,47807,47809,47819,47837,47843,47857,47869,47881,47903,47911,47917,47933,47939,47947,47951,47963,47969,47977,47981,48017,48023,48029,48049,48073,48079,48091,48109,48119,48121,48131,48157,48163,48179,48187,48193,48197,48221,48239,48247,48259,48271,48281,48299,48311,48313,48337,48341,48353,48371,48383,48397,48407,48409,48413,48437,48449,48463,48473,48479,48481,48487,48491,48497,48523,48527,48533,48539,48541,48563,48571,48589,48593,48611,48619,48623,48647,48649,48661,48673,48677,48679,48731,48733,48751,48757,48761,48767,48779,48781,48787,48799,48809,48817,48821,48823,48847,48857,48859,48869,48871,48883,48889,48907,48947,48953,48973,48989,48991,49003,49009,49019,49031,49033,49037,49043,49057,49069,49081,49103,49109,49117,49121,49123,49139,49157,49169,49171,49177,49193,49199,49201,49207,49211,49223,49253,49261,49277,49279,49297,49307,49331,49333,49339,49363,49367,49369,49391,49393,49409,49411,49417,49429,49433,49451,49459,49463,49477,49481,49499,49523,49529,49531,49537,49547,49549,49559,49597,49603,49613,49627,49633,49639,49663,49667,49669,49681,49697,49711,49727,49739,49741,49747,49757,49783,49787,49789,49801,49807,49811,49823,49831,49843,49853,49871,49877,49891,49919,49921,49927,49937,49939,49943,49957,49991,49993,49999]
setprimes = set(primes)
def sprime(a,b):
    for p in primes:
        if p>= b: break
        if p>= a: yield p