id:A136027 - OEIS Search Results

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a(n) = smallest son prime of order n.

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3, 3, 5, 5, 3, 7, 3, 3, 5, 3, 5, 5, 3, 5, 13, 3, 3, 11, 5, 3, 5, 3, 5, 5, 19, 3, 7, 3, 5, 7, 3, 5, 5, 11, 3, 13, 5, 3, 7, 7, 3, 5, 3, 17, 7, 5, 3, 11, 5, 23, 5, 3, 5, 5, 3, 5, 7, 3, 11, 7, 3, 3, 5, 5, 3, 5, 5, 3, 11, 3, 3, 13, 3, 11, 11, 7, 3, 5, 5, 3, 5, 3, 11, 5, 3, 3, 5, 5, 17, 7, 5, 3, 11, 7, 23, 7 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`smallest father primes of order n see A136026`
	EXAMPLE	`Definition: son prime of order n is prime of the form (Prime(k)-2n)/(2n+1)` `a(1)=3 because 3 is smallest prime of the form (p-2)/3 (in this case prime p=11)` `a(2)=3 because 3 is smallest prime of the form (p-4)/5 (in this case prime p=19)` `a(3)=5 because 5 is smallest prime of the form (p-6)/7 (in this case prime p=41)` `these Prime(k) are father primes A136026`
	MATHEMATICA	`a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] - 2n)/(2n + 1)], k++ ]; AppendTo[a, (Prime[k] - 2n)/(2n + 1)], {n, 1, 100}]; a`
	CROSSREFS	`Cf. A136018, A136019, A136026.` `Adjacent sequences: A136024 A136025 A136026 this_sequence A136028 A136029 A136030` `Sequence in context: A087853 A095334 A071182 this_sequence A133772 A129972 A130829`
	KEYWORD	`nonn,uned`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Dec 10 2007`

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Last modified October 6 16:09 EDT 2008. Contains 144667 sequences.

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