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 = 'import math\r\ndef prime(aa):\r\n\tf=0\r\n\tif aa>=100:\r\n\t\tto=int(math.sqrt(aa))\r\n\telse:\r\n\t\tto=aa\r\n\tfor y in range(2,to):\r\n\t\tif aa%y==0:\r\n\t\t\t\treturn 0\r\n\treturn 1\r\n\r\nte=int(input())\r\nfor _ in range(te):\r\n\ta=int(input())\r\n\tar=[]\r\n\tar.append(2)\r\n\tf=0\r\n\tc=0\r\n\tpc=3\r\n\tadd=0\r\n\tfor x in ar:\r\n\t\ttry:\r\n\t\t\tadd=add+ar[x-1]\r\n\t\texcept:\r\n\t\t\twhile True:\r\n\t\t\t\tif prime(pc)==1:\r\n\t\t\t\t\tar.append(pc)\r\n\t\t\t\t\tif x<=len(ar):\r\n\t\t\t\t\t\tbreak\r\n\t\t\t\tpc+=1\r\n\t\t\tpc+=1\r\n\t\tadd=add+ar[x-1]\r\n\t\tc+=1\r\n\t\tif c==a:\r\n\t\t\tbreak\r\n\tprint(add)\r\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13323