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A117050
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Primes of the form 22*(n^2)+1 for which the sum of the digits is also of the form 22*(n^2)+1.
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0
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6359, 26951, 117239, 174263, 306329, 521753, 635801, 720743, 794201, 1103873, 1487201, 4655201, 5412353, 6655001, 8213063, 10053473, 10322951, 12014663, 12841313, 16120193, 23113751, 25613303, 26138201, 39503201
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OFFSET
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1,1
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LINKS
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EXAMPLE
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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
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MATHEMATICA
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t=1+22Range[2000]^2; Select[t, PrimeQ[ # ] && MemberQ[t, Total[IntegerDigits[ # ]]]&] (* T. D. Noe, Nov 15 2006 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
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EXTENSIONS
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STATUS
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approved
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