A117050 Primes of the form 22*(n^2)+1 for which the sum of the digits is also of the form 22*(n^2)+1.

6359, 26951, 117239, 174263, 306329, 521753, 635801, 720743, 794201, 1103873, 1487201, 4655201, 5412353, 6655001, 8213063, 10053473, 10322951, 12014663, 12841313, 16120193, 23113751, 25613303, 26138201, 39503201

Offset

1,1

Links

Table of n, a(n) for n=1..24.

Example

6359 is in the sequence because (1) it is a prime that can be written as 22*(17^2)+1 and (2)the sum of its digits 6+3+5+9=23 can be written as 22*(1^2)+1

Mathematica

t=1+22Range[2000]^2; Select[t, PrimeQ[ # ] && MemberQ[t, Total[IntegerDigits[ # ]]]&] (* T. D. Noe, Nov 15 2006 *)

Crossrefs

Sequence in context: A292715 A296777 A292743 * A292040 A203044 A105009

Adjacent sequences: A117047 A117048 A117049 * A117051 A117052 A117053

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006

Extensions

Corrected by T. D. Noe, Nov 15 2006

Status

approved