A071613 a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum.

2, 523, 22193, 1442173, 5521819, 354963229, 881160173, 881160173, 441586802467, 3085029222449

Offset

1,1

Comments

a(11) > 10^14. - Giovanni Resta, Aug 15 2013

All primes > 2 in this sequence are followed by a gap of 18 or a multiple thereof. - M. F. Hasler, May 07 2026

Links

Table of n, a(n) for n=1..10.

Example

a(3) = 22193, since 22193,22229,22247 are three consecutive primes with digit sum 17 and this is the first occurrence of three consecutive primes with equal digit sum.

Crossrefs

Cf. A006567, A070905, A071614.

Column 1 of A395623. See also A066540, A209396, A210629, A227931, A227933.

Sequence in context: A352852 A283756 A352803 * A332152 A262649 A202277

Adjacent sequences: A071610 A071611 A071612 * A071614 A071615 A071616

Keyword

base,more,nonn

Author

Klaus Brockhaus, May 27 2002

Extensions

a(7)-a(9) from Donovan Johnson, Dec 02 2009

a(10) from Giovanni Resta, Aug 14 2013

Status

approved