A131558 Primes which are the sum of the first 10^k primes for some k.

2, 24133, 870530414842019, 11138479445180240497, 1948856725874605823462196012533593

Offset: 1

Author

Cino Hilliard, Aug 27 2007

Keywords

• nonn
• more

Comments

Also numbers n such that A099824(n) is prime.

Examples

			The sum of the first 10^1 primes is 129 which is not prime and not in the sequence. The sum of the first 10^9 primes is 11138479445180240497 which is prime and in the sequence.
		

Crossrefs

Cf. A099824.

Programs

PARI

sm=0;  ct=0;  p=1;  bb=1;
{ while ( 1,
    p = nextprime(p+1);  sm += p;  ct++;
    if ( (ct==bb), if ( isprime(sm),print1(sm,", ")); bb*=10; );
); }

Extensions

a(5) from David Baugh, Sep 27 2016