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A053647
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First term of first sequence of n primes in arithmetic progression with a common difference equal to the product of first n primes.
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0
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2, 5, 7, 13, 37, 73, 7937, 7703, 272809, 640943, 5378959, 116137159, 3708797237, 114649314209, 158317270283
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| R. Chapman, Dirichlet's theorem:a real variable approach
B. Green & T. Tao, The primes contain arbitrarily long arithmetic progressions
Index entries for sequences related to primes in arithmetic progressions
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EXAMPLE
| For n=3, product of first 3 primes is 30. The first arithmetic progression of 3 primes with difference 30 starts at 7 (7, 37, 67), so a(3)=7.
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CROSSREFS
| Sequence in context: A038945 A177997 A141112 * A023242 A164570 A126338
Adjacent sequences: A053644 A053645 A053646 * A053648 A053649 A053650
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KEYWORD
| hard,nonn,nice
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AUTHOR
| G. L. Honaker, Jr. (honak3r(AT)gmail.com), Feb 18 2000
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EXTENSIONS
| Last 3 terms from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Feb 28 2000
a(14)>2^32 and a(15)>2^32 - Jud McCranie.
a(14)-a(15) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Oct 20 2009
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