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Search: id:A136020
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| A136020 |
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Smallest prime of the form (2*n+1)*prime(k)-2*n, any k. |
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+0
57
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| 7, 11, 29, 19, 23, 53, 31, 103, 191, 43, 47, 101, 109, 59, 311, 67, 71, 149, 79, 83, 173, 181, 283, 197, 103, 107, 331, 229, 709, 367, 127, 131, 269, 139, 853, 293, 151, 463, 317, 163, 167, 1021, 349, 179, 547, 373, 191, 389, 199, 607, 619, 211, 643, 1091, 223
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The associated prime(k) are in A136019.
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EXAMPLE
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a(1)=7 because 7 is smallest prime p such that (p+2)/3 is prime
a(2)=11 because 11 is smallest prime p such that (p+4)/5 is prime
a(3)=29 because 29 is smallest prime p such that (p+6)/7 is prime
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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. A136019, A136026, A136027.
Sequence in context: A045736 A158807 A067006 this_sequence A076304 A122560 A136338
Adjacent sequences: A136017 A136018 A136019 this_sequence A136021 A136022 A136023
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KEYWORD
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nonn,easy
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Dec 10 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 17 2009
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