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A226905
First in a sequence of 9 consecutive primes all of the form 4n+1.
0
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
OFFSET
1,1
REFERENCES
David Wells, The Penguin Dictionary of Curious and Interesting Numbers (Rev. ed. 1997), p. 163 (entry for 11593).
EXAMPLE
206953, 206993, 207013, 207017, 207029, 207037, 207041, 207061, and 207073 are 9 consecutive primes, each equal to 1 mod 4.
MATHEMATICA
Transpose[Select[Partition[Prime[Range[180000]], 9, 1], Union[Mod[#, 4]] == {1}&]][[1]]
CROSSREFS
Cf. A055623 (first occurrence of run of primes congruent to 1 mod 4 of exactly length n).
Sequence in context: A184685 A203387 A218105 * A162865 A237534 A049051
KEYWORD
nonn
AUTHOR
Harvey P. Dale, Jun 21 2013
STATUS
approved