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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.
0
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
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
KEYWORD
base,nonn
AUTHOR
Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
EXTENSIONS
Corrected by T. D. Noe, Nov 15 2006
STATUS
approved