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A226905
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First in a sequence of 9 consecutive primes all of the form 4n+1.
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0
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11593, 206953, 315257, 373649, 373657, 495377, 495389, 509389, 509393, 541097, 612109, 612113, 766261, 766273, 766277, 789097, 789101, 906541, 992393, 1124993, 1330229, 1330237, 1410361, 1531633, 1531657, 1531661, 1578133, 1578169, 1595081, 1694897, 1694909
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OFFSET
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1,1
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REFERENCES
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David Wells, The Penguin Dictionary of Curious and Interesting Numbers (Rev. ed. 1997), p. 163 (entry for 11593).
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LINKS
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EXAMPLE
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206953, 206993, 207013, 207017, 207029, 207037, 207041, 207061, and 207073 are 9 consecutive primes, each equal to 1 mod 4.
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[180000]], 9, 1], Union[Mod[#, 4]] == {1}&]][[1]]
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CROSSREFS
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Cf. A055623 (first occurrence of run of primes congruent to 1 mod 4 of exactly length n).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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