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Search: id:A109181
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| A109181 |
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Primes q such that q is the sum of the squared decimal digits of a prime number p. |
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+0
2
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| 2, 13, 17, 37, 73, 2, 11, 11, 59, 59, 131, 83, 131, 163, 17, 89, 11, 19, 59, 19, 67, 43, 67, 139, 139, 17, 97, 41, 113, 53, 61, 101, 37, 53, 61, 101, 73, 109, 131, 67, 139, 107, 179, 149, 109, 137, 83, 163, 139, 131, 179, 163, 211, 11, 83, 11, 19, 83, 131, 11, 83, 47, 67, 103, 11, 19, 59, 47, 107, 43, 67, 107, 179, 47, 127, 167, 199, 131, 67, 163
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For the primes p see A052034.
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EXAMPLE
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q=13 is OK because 13=2^2+3^2 and merging digits 2 and 3 makes p=23 which is a prime.
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MAPLE
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a:=proc(n) local nn, L: nn:=convert(n, base, 10): L:=nops(nn): if isprime(n) = true and isprime(add(nn[j]^2, j=1..L))=true then add(nn[j]^2, j=1..L) else end if end proc: seq(a(n), n=1..1200); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jan 08 2008
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CROSSREFS
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Cf. A052034.
Sequence in context: A018459 A037384 A122487 this_sequence A067522 A128852 A063615
Adjacent sequences: A109178 A109179 A109180 this_sequence A109182 A109183 A109184
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KEYWORD
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base,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Jun 21 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu) and Alvin H. Belt (AlvinBelt(AT)msn.com), Jan 08 2008
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