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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

%I #6 Mar 15 2023 12:39:25

%S 6359,26951,117239,174263,306329,521753,635801,720743,794201,1103873,

%T 1487201,4655201,5412353,6655001,8213063,10053473,10322951,12014663,

%U 12841313,16120193,23113751,25613303,26138201,39503201

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

%e 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

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

%K base,nonn

%O 1,1

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

%E Corrected by _T. D. Noe_, Nov 15 2006

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Last modified July 15 06:17 EDT 2024. Contains 374324 sequences. (Running on oeis4.)