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Search: id:A136026
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| A136026 |
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a(n) = smallest father prime of order n. |
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+0
35
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| 11, 19, 41, 53, 43, 103, 59, 67, 113, 83, 137, 149, 107, 173, 433, 131, 139, 443, 233, 163, 257, 179, 281, 293, 1019, 211, 439, 227, 353, 487, 251, 389, 401, 827, 283, 1021, 449, 307, 631, 647, 331, 509, 347, 1601, 727, 557, 379, 1163, 593, 2423, 617, 419, 641
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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smallest son primes of order n see A136027
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EXAMPLE
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Definition: father prime of order n is prime of the form (2n+1)Prime(k)+2n
a(1)=11 because 11 is smallest prime p such that (p-2)/3 is prime
a(2)=19 because 19 is smallest prime p such that (p-4)/5 is prime
a(3)=41 because 41 is smallest prime p such that (p-6)/7 is prime
these Prime(k) are son primes A136027
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MATHEMATICA
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a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] - 2n)/(2n + 1)], k++ ]; AppendTo[a, Prime[k]], {n, 1, 100}]; a
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CROSSREFS
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Cf. A136018, A136019, A136027.
Adjacent sequences: A136023 A136024 A136025 this_sequence A136027 A136028 A136029
Sequence in context: A052368 A117873 A076853 this_sequence A033201 A066738 A081027
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KEYWORD
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nonn,uned
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Dec 10 2007
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