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Search: id:A161534
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| A161534 |
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The smallest of four consecutive primes where all three gaps are perfect squares. |
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+0
1
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| 255763, 604441, 651361, 884497, 913063, 1065133, 1320211, 1526191, 2130133, 2376721, 2907727, 2911933, 2974891, 3190597, 3603583, 3690151, 3707497, 3962941, 4209643, 4245643, 4706101, 5057671, 5155567, 5223187, 5260711, 5321191, 5325571, 5410627
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Gaps occur as (36,4,36), (4,36,36), etc., all with at least one of them equal to 36 thru primes of 10^9.
A gap of 16 is first involved in 2376721 and 4706101, a gap of 64 first in 4245643, 5710531 and 21953641.
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EXAMPLE
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a(2) = 604441, the smallest of the consecutive primes 604441, 604477, 604481, 604517, with gaps of 36, 4 and 36, all perfect squares.
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CROSSREFS
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Cf. A161002, A161533, A138198.
Sequence in context: A034631 A147579 A087025 this_sequence A052197 A053076 A083604
Adjacent sequences: A161531 A161532 A161533 this_sequence A161535 A161536 A161537
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KEYWORD
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nonn
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AUTHOR
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Ki Punches (ki1212(AT)pocketmail.com), Jun 13 2009
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EXTENSIONS
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Terms beyond a(6) from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 23 2009
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