The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A033451 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A033451

Initial prime in set of 4 consecutive primes with common difference 6.
(history; published version)

#67 by M. F. Hasler at Thu Jan 02 13:16:12 EST 2020

STATUS

editing

approved

#66 by M. F. Hasler at Thu Jan 02 13:16:05 EST 2020

LINKS

OEIS wiki, <a href="/wiki/Consecutive_primes_in_arithmetic_progression#CPAP_with_given_gap">Consecutive primes in arithmetic progression: CPAP with given gap</a>, updated Jan. 2020

#65 by M. F. Hasler at Thu Jan 02 13:15:21 EST 2020

COMMENTS

All terms p == 1 (mod 10) and hence p+24 are always divisible by 5. - Zak Seidov, Jun 20 2015

LINKS

OEIS wiki, <a href="/wiki/Consecutive_primes_in_arithmetic_progression">Consecutive primes in arithmetic progression</a>, updated Jan. 2020

STATUS

approved

editing

#64 by M. F. Hasler at Fri Oct 26 12:30:24 EDT 2018

STATUS

editing

approved

#63 by M. F. Hasler at Fri Oct 26 12:29:31 EDT 2018

COMMENTS

Subsequence of A054800, with which is coincides up to a(24), but a(25) = A054800(26). - M. F. Hasler, Oct 26 2018

STATUS

approved

editing

#62 by N. J. A. Sloane at Fri Aug 04 20:59:58 EDT 2017

STATUS

proposed

approved

#61 by Jon E. Schoenfield at Fri Aug 04 20:26:08 EDT 2017

STATUS

editing

proposed

#60 by Jon E. Schoenfield at Fri Aug 04 20:26:01 EDT 2017

EXAMPLE

251, 257, 263, 269 are consecutive primes: 257 = 251 + 6, 263 = 251 + 12, 269 = 251 + 18.

STATUS

proposed

editing

#59 by Muniru A Asiru at Fri Aug 04 16:55:00 EDT 2017

STATUS

editing

proposed

#58 by Muniru A Asiru at Fri Aug 04 16:54:23 EDT 2017

MAPLE

N:=10^5: # to get all terms <= N.

Primes:=select(isprime, [seq(i, i=3..N+18, 2)]):

Primes[select(t->[Primes[t+1]-Primes[t], Primes[t+2]-Primes[t+1],

Primes[t+3]-Primes[t+2]]=[6, 6, 6], [$1..nops(Primes)-3])]; # Muniru A Asiru, Aug 04 2017

STATUS

approved

editing