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Search: id:A038710
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| A038710 |
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Smallest prime > product of first n primes. |
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+0
5
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| 2, 3, 7, 31, 211, 2311, 30047, 510529, 9699713, 223092907, 6469693291, 200560490131, 7420738134871, 304250263527281, 13082761331670077, 614889782588491517, 32589158477190044789, 1922760350154212639131
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Observe that in A035345 the first term is 3=1+2 and 1 is not a primorial number.
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FORMULA
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a(n) = Min[A035345(n), A018239(n)]=A002110(n)+Min[1, A005235(n)]
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EXAMPLE
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for n=1,2,3,4,5,11,75 A002110(n)+1 gives smaller primes than A002110(n)+p, where p is a fortunate number(prime). At n=5, both 2311 and 2333 are primes but first is smaller.
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MATHEMATICA
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nmax = 2^16384; npd = 1; n = 1; npd = npd*Prime[n]; While[npd < nmax, cp = npd + 1; While[ ! (PrimeQ[cp]), cp = cp + 2]; Print[cp]; n = n + 1; npd = npd*Prime[n]] (Lei Zhou (lzhou5(AT)emory.edu), Feb 15 2005)
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CROSSREFS
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A002110, A005235, A035345, A018239.
Sequence in context: A081947 A046972 A006862 this_sequence A073918 A096350 A018239
Adjacent sequences: A038707 A038708 A038709 this_sequence A038711 A038712 A038713
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 02 2000
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