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A136082
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Son primes of order 5.
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16
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3, 11, 17, 23, 41, 53, 59, 107, 131, 167, 173, 179, 191, 257, 263, 269, 389, 401, 431, 461, 467, 479, 521, 563, 569, 599, 647, 653, 677, 683, 719, 773, 821, 839, 857, 887, 947, 971, 1031, 1049, 1061, 1091, 1103, 1151, 1181, 1217, 1223, 1259, 1277, 1301
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OFFSET
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1,1
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COMMENTS
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For smallest son primes of order n see A136027 (also definition). For son primes of order 1 see A023208. For son primes of order 2 see A023218. For son primes of order 3 see A023225. For son primes of order 4 see A023235.
Numbers in this sequence are those primes p such that 11*p + 10 is also prime. Generally, son primes of order n are the primes p such that (2n+1)*p + 2n is also prime. - Bob Selcoe, Apr 04 2015
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LINKS
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MATHEMATICA
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n = 5; a = {}; Do[If[PrimeQ[(Prime[k] - 2n)/(2n + 1)], AppendTo[a, (Prime[k] - 2n)/(2n + 1)]], {k, 1, 1000}]; a
Select[Prime[Range[250]], PrimeQ[11#+10]&] (* Harvey P. Dale, Aug 07 2021 *)
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CROSSREFS
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Cf. A023208, A023218, A023225, A023235, A094524, A136019, A136020, A136026, A136027, A023208, A136083, A136084, A136085, A136086, A136087, A136088, A136089, A136090, A136091.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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