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Search: id:A073688
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| A073688 |
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Group the natural numbers so that the product of the terms in each group + 1 is a prime: (1), (2), (3, 4), (5, 6), (7, 8, 9, 10, 11), (12), (13, 14, 15), (16), ... This is the sequence of such primes. |
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+0
3
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| 2, 3, 13, 31, 55441, 13, 2731, 17, 307, 4037881, 601, 530122321, 63606090241, 115511761, 91081, 2307336935904001, 185137, 3541, 238267, 1250895361, 4831, 5113, 2370937801, 79, 292666711681, 32808912827897606401
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OFFSET
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0,1
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COMMENT
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No group can contain 4 terms as the product of four consecutive integers + 1 is a square. Question: are there other numbers like 4, which always give a composite number?
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CROSSREFS
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Cf. A073689, A073690.
Sequence in context: A092175 A072997 A037428 this_sequence A082539 A100424 A117528
Adjacent sequences: A073685 A073686 A073687 this_sequence A073689 A073690 A073691
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 12 2002
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 24 2003
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