The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A138763 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A138763

Primes p1 such that p1^2 + p2^3 and p1^3 + p2^2 are averages of twin primes. p1 and p2 are consecutive primes, p1 < p2.
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:45:33 EDT 2022

PROG

(MAGMAMagma) [p:p in PrimesInInterval(1, 11000000)| IsPrime(a+1) and IsPrime(a-1) and IsPrime(b+1) and IsPrime(b-1) where a is p^2+q^3 where b is p^3+q^2 where q is NextPrime(p)]; // Marius A. Burtea, Jan 01 2020

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#15 by Susanna Cuyler at Wed Jan 01 10:29:04 EST 2020

STATUS

proposed

approved

#14 by Marius A. Burtea at Wed Jan 01 05:20:07 EST 2020

STATUS

editing

proposed

#13 by Marius A. Burtea at Wed Jan 01 05:19:59 EST 2020

PROG

(MAGMA) [p:p in PrimesInInterval(1, 11000000)| IsPrime(a+1) and IsPrime(a-1) and IsPrime(b+1) and IsPrime(b-1) where a is p^2+(q)^3 where b is p^3+(q)^2 where q is NextPrime(p)]; // Marius A. Burtea, Jan 01 2020

STATUS

proposed

editing

#12 by Marius A. Burtea at Wed Jan 01 05:19:06 EST 2020

STATUS

editing

proposed

#11 by Marius A. Burtea at Wed Jan 01 05:18:48 EST 2020

PROG

STATUS

proposed

editing

#10 by Amiram Eldar at Wed Jan 01 04:42:06 EST 2020

STATUS

editing

proposed

#9 by Amiram Eldar at Wed Jan 01 04:40:09 EST 2020

EXAMPLE

p1 = 23 is a term since the next prime is p2 = 29, and both p1^2 + p2^3 = 24918 and p1^3 + p2^2 = 13008 are averages of twin primes.

#8 by Amiram Eldar at Wed Jan 01 04:37:42 EST 2020

NAME

Primes p1 such that p1^2 + p2^3=p3 and p1^3 + p2^2=p4, p3 and p4 are average averages of twin primes. p1 and p2 are consecutive primes, p1 < p2.

#7 by Amiram Eldar at Wed Jan 01 04:35:44 EST 2020

CROSSREFS

Cf. A001097, A001359, A006512, A014574.