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A136026 a(n) = smallest father prime of order n. +0
35
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)
OFFSET

1,1

COMMENT

smallest son primes of order n see A136027

EXAMPLE

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

MATHEMATICA

a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] - 2n)/(2n + 1)], k++ ]; AppendTo[a, Prime[k]], {n, 1, 100}]; a

CROSSREFS

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

KEYWORD

nonn,uned

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Dec 10 2007

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.


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