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A317164
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a(n) = 55837783597462913 + (n-1)*13858932213216090.
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3
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55837783597462913, 69696715810679003, 83555648023895093, 97414580237111183, 111273512450327273, 125132444663543363, 138991376876759453, 152850309089975543, 166709241303191633, 180568173516407723, 194427105729623813, 208286037942839903, 222144970156055993
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OFFSET
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1,1
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COMMENTS
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The terms for n = 1..26 are prime. As of Jul 23 2018, this is one of the longest known sequences of primes in arithmetic progression.
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LINKS
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FORMULA
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a(n) = 455837783597462913 + a(n-1)*62121807*23#, where 23# := 2*3*5*7*11*13*17*19*23 = 223092870.
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EXAMPLE
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a(26) = 55837783597462913 + 25*62121807*223092870 = 402311088927865163 is prime.
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MAPLE
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seq(55837783597462913+(n-1)*13858932213216090, n=1..15); # Muniru A Asiru, Jul 24 2018
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MATHEMATICA
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Table[55837783597462913 + (n - 1) 13858932213216090, {n, 1, 25}]
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PROG
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(GAP) List([1..25], n->55837783597462913+(n-1)*13858932213216090); # Muniru A Asiru, Jul 24 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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