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Revision History for A158296

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A158296

Primes p such that 12*p^2 -+ 1 are twin primes.
(history; published version)

#9 by Harvey P. Dale at Wed Sep 15 17:10:30 EDT 2021

STATUS

editing

approved

#8 by Harvey P. Dale at Wed Sep 15 17:10:28 EDT 2021

MATHEMATICA

Select[Prime[Range[1200]], AllTrue[12#^2+{1, -1}, PrimeQ]&] (* Harvey P. Dale, Sep 15 2021 *)

STATUS

approved

editing

#7 by Alois P. Heinz at Sat Dec 21 15:54:44 EST 2019

STATUS

reviewed

approved

#6 by Michel Marcus at Sat Dec 21 04:10:34 EST 2019

STATUS

proposed

reviewed

#5 by Amiram Eldar at Sat Dec 21 04:00:24 EST 2019

STATUS

editing

proposed

#4 by Amiram Eldar at Sat Dec 21 03:57:36 EST 2019

NAME

Primes p such that 12*p^2 -+ 1 are twin primes.

EXAMPLE

3 is in the sequence since 12*3^2 = 108 and (107, 109) are twin primes.

CROSSREFS

Cf. A120364, A088483, A158295.

#3 by Amiram Eldar at Sat Dec 21 03:56:34 EST 2019

LINKS

Amiram Eldar, <a href="/A158296/b158296.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 12:38:20 EDT 2012

AUTHOR

_Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Mar 15 2009

Discussion

Sat Mar 31

12:38

OEIS Server: https://oeis.org/edit/global/876

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Primes p such that 12*p^2-+1 are twin primes.

DATA

3, 11, 13, 17, 29, 227, 283, 491, 647, 739, 953, 1151, 1471, 1511, 1879, 1889, 2129, 2251, 2297, 2593, 2633, 3347, 3539, 3559, 3643, 3877, 3919, 4231, 4327, 4547, 4673, 4801, 4999, 5051, 6451, 6653, 6737, 6779, 6983, 7741, 7937, 8179, 8219, 8231, 8389

OFFSET

1,1

MATHEMATICA

lst={}; Do[p=Prime[n]; a=12*p^2; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p]], {n, 7!}]; lst

CROSSREFS

Cf. A120364, A088483, A158295

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 15 2009

STATUS

approved