A174106 Smallest primes such that when primes up to and including the n-th term in this sequence are summed, the result will be divisible by 10^n.

5, 23, 35677, 106853, 632501, 31190879, 58369153, 707712517, 26219976521, 87424229843, 1642257355619, 2962734127453

Offset

1,1

Comments

In the long term, the prime sums' residues modulo 10^n are uniformly distributed, so one would expect the n-th term to be about the same size as the n-th prime.

Links

Table of n, a(n) for n=1..12.

Example

2+3+5 = 10, so 5 is the 1st term.
2+3+5+7+11+13+17+19+23 = 100, so 23 is the 2nd term.

Crossrefs

Sequence in context: A309210 A345880 A345713 * A120660 A110720 A200822

Adjacent sequences: A174103 A174104 A174105 * A174107 A174108 A174109

Keyword

base,nonn,more

Author

Phil Carmody, Mar 07 2010

Status

approved