The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A054681 Start of a run of consecutive primes of length n each ending with the same digit. 8
 2, 139, 1627, 18839, 123229, 776257, 3873011, 23884639, 36539311, 196943081, 452942827, 73712513057, 154351758091, 154351758091, 4010803176619, 6987191424553, 71894236537009, 196948379177587, 253931039382791 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Table of n, a(n) for n=1..19. J. K. Andersen, Consecutive Congruent Primes. William F. Sindelar, Mark Underwood, Mikael Klasson, Gaps Between Consecutive Odds not Divisible by 3, digest of 5 messages in primenumbers Yahoo group, Jun 27 - Jun 29, 2003. [Cached copy] Mark Underwood's Problem posed on the "PrimeNumbers" yahoogroup (2003) EXAMPLE a(2)=139 because 139 and 149 are the first consecutive primes to share a terminal digit. PROG (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) CROSSREFS Sequence in context: A212715 A329594 A084560 * A152509 A265462 A094482 Adjacent sequences: A054678 A054679 A054680 * A054682 A054683 A054684 KEYWORD nonn,base AUTHOR Jeff Burch, Apr 18 2000 EXTENSIONS More terms from Phil Carmody, Jun 27 2003 Further from Jens Kruse Andersen, Jun 03 2006 a(17)-a(19) from Giovanni Resta, Aug 01 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified March 1 22:23 EST 2024. Contains 370443 sequences. (Running on oeis4.)