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Search: id:A115785
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| A115785 |
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Smallest prime number p such that p - p(1)#, p - p(2)#, ..., p - p(n)# are all prime, where p(i)# is the primorial of the i-th prime (A002110(i)). |
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+0
2
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| 5, 13, 43, 229, 3463, 43789, 1088449, 19800379, 264333259, 9348884059, 228178314439, 7931712374479, 307867708410673, 13230211614496609, 618681508598750923
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Subset of A006512 (greater of twin primes).
Inspired by C. Rivera's Prime Curio for 313. a(4) = 229 is the smallest prime having the same property he states for 313.
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LINKS
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G. L. Honaker Jr. and C. Caldwell, Prime Curios for 313.
C. Rivera, Puzzle 350. Primes & primorials.
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EXAMPLE
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a(4) = 229 because 229, 229 - 2, 229 - 2*3, 229 - 2*3*5, and 229 - 2*3*5*7 are all prime and there is no smaller prime with this property.
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CROSSREFS
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Cf. A002110, A006512, A115786 (for p + p(i)#).
Sequence in context: A105262 A129789 A093576 this_sequence A113835 A006349 A052899
Adjacent sequences: A115782 A115783 A115784 this_sequence A115786 A115787 A115788
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KEYWORD
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more,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jan 31 2006
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EXTENSIONS
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a(10) from Don Reble (djr(AT)nk.ca), Feb 15 2006
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Feb 26 2006
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