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Revision History for A053778

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Showing entries 1-10 | older changes

A053778

First of four consecutive primes that comprise two sets of twin primes.
(history; published version)

#22 by Charles R Greathouse IV at Tue Jun 13 02:18:38 EDT 2017

STATUS

editing

approved

#21 by Charles R Greathouse IV at Tue Jun 13 02:18:34 EDT 2017

LINKS

M. F. Hasler, <a href="/A053778/b053778.txt">Table of n, a(n) for n = 1,...,5274</a>.

PROG

(PARI) forprime( p=1, 10^5, isprime(p+2) || next; isprime(nextprime(p+4)+2) & & print1(p", "))

(PARI) nextA053778(p)={until( isprime(nextprime(p+1)+2), until( p+2==p=nextprime(p+1), )); p-2}

STATUS

approved

editing

#20 by Zak Seidov at Mon Aug 17 23:04:00 EDT 2015

COMMENTS

All terms are == 5 (mod 6). - Zak Seidov, Aug 10 2015

LINKS

M. F. Hasler and Zak Seidov, , <a href="/A053778/b053778_1.txt">Table of n, a(n) for n = 1,...34380</a> First ,5274 terms from M. F. Hasler</a>.

EXAMPLE

These primes initiate consecutive p quadruples as follows: [p,p+2,p+6k,p+6k+2]. For 6k=6,12,18,24,30,36,54 such a p = 5,137,1931,9437,2968, 20441 and 48677 resp. Such a quadruple is [48677,48679,48731,48733], with [2,52,2] difference pattern.

KEYWORD

nonn,changed

nonn

EXTENSIONS

Edited by N. J. A. Sloane , Apr 13 2008, at the suggestion of _M. F. Hasler_, Apr 13 2008.

STATUS

proposed

approved

#19 by Jon E. Schoenfield at Tue Aug 11 01:00:18 EDT 2015

STATUS

editing

proposed

#18 by Jon E. Schoenfield at Tue Aug 11 01:00:15 EDT 2015

COMMENTS

All terms are == 5 (mod 6). - Zak Seidov, Aug 10 2015

EXAMPLE

STATUS

proposed

editing

#17 by Michel Marcus at Mon Aug 10 08:47:08 EDT 2015

STATUS

editing

proposed

#16 by Michel Marcus at Mon Aug 10 08:46:36 EDT 2015

EXTENSIONS

Edited by N. J. A. Sloane, Apr 13 2008, at the suggestion of _M. F. Hasler._, Apr 13 2008

STATUS

proposed

editing

#15 by Zak Seidov at Mon Aug 10 08:42:29 EDT 2015

STATUS

editing

proposed

#14 by Zak Seidov at Mon Aug 10 08:28:32 EDT 2015

COMMENTS

All terms are == 5 mod 6. - Zak Seidov, Aug 10 2015

LINKS

M. F. Hasler, and Zak Seidov, <a href="/A053778/b053778_1.txt">Table of n, a(n) for n = 1,...,34380</a> First 5274</a> terms from M. F. Hasler.

STATUS

approved

editing

Discussion

Mon Aug 10

08:42

Zak Seidov: Are "differences/6" worth submitting?

#13 by Charles R Greathouse IV at Thu Nov 21 12:47:22 EST 2013

MATHEMATICA

Transpose[Select[Partition[Prime[Range[1500]], 4, 1], #[[4]]-#[[3]]== #[[2]]-#[[1]]== 2&]][[1]] (* From _Harvey P. Dale, _, Jul 07 2011 *)

Discussion

Thu Nov 21

12:47

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