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Search: id:A054681
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| A054681 |
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Start of a run of consecutive primes of length n each ending with the same digit. |
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+0
5
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| 2, 139, 1627, 18839, 123229, 776257, 3873011, 23884639, 36539311, 196943081, 452942827, 73712513057, 154351758091, 154351758091, 4010803176619, 6987191424553
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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n consecutive primes differ by a multiple of 10 starting at a(n).
n consecutive primes that are congruent mod 10, i.e. they are not necessarily in arithmetic progression.
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LINKS
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J. K. Andersen, Consecutive Congruent Primes.
Mark Underwood's Problem posed on the "PrimeNumbers" yahoogroup
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EXAMPLE
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a(2)=139 because 139 and 149 are the first consecutive primes to share a terminal digit.
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PROGRAM
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(PARI) i=1; s=0; d=0; l=0; forprime(p=1, 500000, if(p%10==d, l++, if(l>=i, print(s); i++); s=p; d=p%10; l=1)) (Carmody)
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CROSSREFS
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Sequence in context: A157072 A051029 A084560 this_sequence A152509 A094482 A101232
Adjacent sequences: A054678 A054679 A054680 this_sequence A054682 A054683 A054684
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KEYWORD
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more,nonn,base
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AUTHOR
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Jeff Burch (gburch(AT)erols.com), Apr 18 2000
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EXTENSIONS
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More terms from Phil Carmody (pc+oeis(AT)asdf.org), Jun 27 2003
Further from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Jun 03 2006
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