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Search: id:A038773
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| A038773 |
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Smallest primes of form Q+c, where Q is the n-th primorial and c is composite>=Prime[n+1]^2. |
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+0
1
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| 11, 31, 79, 331, 2531, 30319, 511039, 9700357, 223093769, 6469694377, 200560491721, 7420738136831, 304250263529059, 13082761331672803, 614889782588494961, 32589158477190048817, 1922760350154212643889
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OFFSET
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1,1
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COMMENT
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Remark that between 2310 and 2531, 26 primes(2311,...,2521) can be found, all of them have [primorial+prime] form. Observe that a(2)=31=2.3+5^2=2.3.5+1, so it has two "primorial forms"...
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EXAMPLE
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At n=5, 5th primorial is A002110(5)=2310 and 2310+221=2531 is the prime of demanded form, where 221 is composite.
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CROSSREFS
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A002110, A054757, A054758, A005235.
Sequence in context: A139634 A124704 A089346 this_sequence A054757 A038768 A072672
Adjacent sequences: A038770 A038771 A038772 this_sequence A038774 A038775 A038776
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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 04 2000
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