Prime numbers are arranged in a ordered list U$U$, in increasing order. Let S$S$ be a sublist of U$U$ with a unique property that for every element A$A$ belonging to list S$S$, if i$i$ denotes the index of A$A$ in list U$U$, than i$i$ also belongs to list U$U$.
Given N$N$, find sum of first N$N$ elements of list S$S$, assuming 1-based indexing.
As the sum can be very large, print the sum modulo 109+7$10^{9}+7$.

-----Input:-----
-The first line of the input contains a single integer T$T$ denoting the number of test cases.
-Only line of each test case has an integer N$N$ .

-----Output:-----
For each test case, print a single integer denoting the sum of first N$N$ elements of set S$S$ modulo 109+7$10^{9}+7$.

-----Constraints-----
- 1≤T≤10000$1 \leq T \leq 10000$
- 1≤N≤1000$1 \leq N \leq 1000$

-----Subtasks-----
- 
20 points : 
- 
1≤T≤10000$1 \leq T \leq 10000$
- 
1≤N≤10$1 \leq N \leq 10$
- 
20 points :
- 
1≤T≤100$1 \leq T \leq 100$
- 
1≤N≤100$1 \leq N \leq 100$
- 
60 points : Original Constraints

-----Sample Input:-----
2

1
2

-----Sample Output:-----
3
8

-----EXPLANATION:-----
Example case 1: 
First few elements of set S$S$ are  {3,5,11…}  , so sum is 3.
Example case 2: 
Sum is 3+5=8.

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def SieveOfEratosthenes(n):\r\n    prime = [True for i in range(n+1)] \r\n    p = 2\r\n    while (p * p <= n):\r\n        if (prime[p] == True):\r\n            for i in range(p * 2, n+1, p):\r\n                prime[i] = False\r\n        p += 1\r\n    arr=[]    \r\n    for p in range(2, n): \r\n        if prime[p]: \r\n            arr.append(p)\r\n    if prime[n]:\r\n        arr.append(n)\r\n    return arr        \r\nt=int(input())\r\nfor _ in range(t):\r\n    n =int(input())\r\n    k=SieveOfEratosthenes(109)\r\n    count=0\r\n    s=0\r\n    for i in range(2,30):\r\n        if count<n:\r\n            if i in k:\r\n                s+=k[i-1]\r\n                count+=1\r\n            else:\r\n                pass\r\n        else:\r\n            break\r\n    print(s)\r\n            \r\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13129