The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A295706 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A295706

Primes p for which the difference between p^2 and the square of the next prime is both 1 more and 1 less than a prime.
(history; published version)

#35 by Joerg Arndt at Fri Mar 02 13:16:27 EST 2018

STATUS

proposed

approved

#34 by Robert Israel at Fri Mar 02 11:21:49 EST 2018

STATUS

editing

proposed

#33 by Robert Israel at Fri Mar 02 11:21:39 EST 2018

LINKS

Robert Israel, <a href="/A295706/b295706.txt">Table of n, a(n) for n = 1..10000</a>

#32 by Robert Israel at Fri Mar 02 11:18:44 EST 2018

MAPLE

N:= 10^4: # to get all terms <= N

p:= 1: q:= 2: A:= NULL:

while p < N do

p:= q; q:= nextprime(p);

d:= q^2-p^2;

if isprime(d+1) and isprime(d-1) then A:= A, p fi

od:

A; # Robert Israel, Mar 02 2018

STATUS

approved

editing

#31 by Bruno Berselli at Fri Mar 02 02:33:06 EST 2018

STATUS

reviewed

approved

#30 by Michel Marcus at Thu Mar 01 12:42:05 EST 2018

STATUS

proposed

reviewed

#29 by Michel Marcus at Mon Jan 08 06:38:15 EST 2018

STATUS

editing

proposed

Discussion

Thu Mar 01

12:42

Michel Marcus: this seems to be ready for some time now

#28 by Michel Marcus at Mon Jan 08 06:37:58 EST 2018

DATA

7, 17, 23, 37, 47, 59, 83, 89, 107, 113, 127, 131, 149, 163, 173, 257, 353, 433, 439, 457, 467, 521, 563, 761, 773, 839, 881, 953, 1009, 1031, 1213, 1307, 1319, 1321, 1697, 1733, 1759, 1811, 1861, 1871, 1913, 1979, 2153, 2221, 2281, 2287, 2309, 2393, 2593, 2767, 2789

STATUS

proposed

editing

Discussion

Mon Jan 08

06:38

Michel Marcus: Just added a few more terms using pari script

#27 by Michel Marcus at Mon Dec 11 04:37:42 EST 2017

STATUS

editing

proposed

#26 by Michel Marcus at Mon Dec 11 04:37:33 EST 2017

CROSSREFS

Cf. A014574 (average of twin prime pairs), A069482 (difference between squares of consecutive primes).

STATUS

reviewed

editing