The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A163424

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A163424

Primes of the form (p-1)^3/8 + (p+1)^2/4 where p is prime.
(history; published version)

#18 by Harvey P. Dale at Fri Oct 05 14:58:07 EDT 2018

STATUS

editing

approved

#17 by Harvey P. Dale at Fri Oct 05 14:58:04 EDT 2018

MATHEMATICA

Select[(#-1)^3/8+(#+1)^2/4&/@Prime[Range[150]], PrimeQ] (* Harvey P. Dale, Oct 05 2018 *)

STATUS

approved

editing

#16 by Bruno Berselli at Fri Dec 23 05:56:11 EST 2016

STATUS

reviewed

approved

#15 by Joerg Arndt at Fri Dec 23 05:34:41 EST 2016

STATUS

proposed

reviewed

#14 by Jon E. Schoenfield at Fri Dec 23 01:33:14 EST 2016

STATUS

editing

proposed

Discussion

Fri Dec 23

01:39

Michel Marcus: yes

01:39

Michel Marcus: thanks

01:40

Jon E. Schoenfield: You're welcome.  (Merry Christmas!)  :-)

#13 by Jon E. Schoenfield at Fri Dec 23 01:33:04 EST 2016

NAME

Primes of the form ((p-1)/2)^3 /8 + ((p+1)/2)^2 /4 where p is prime.

EXAMPLE

((3-1)/2)^3 /8 + ((3+1)/2)^2 /4 = 1 + 4 = 5;

((5-1)/2)^3 /8 + ((5+1)/2)^2 /4 = 8 + 9 = 17;

((7-1)/2)^3 /8 + ((7+1)/2)^2 /4 = 27 + 16 = 43.

STATUS

proposed

editing

Discussion

Fri Dec 23

01:33

Jon E. Schoenfield: Like this?

#12 by Michel Marcus at Fri Dec 23 01:30:12 EST 2016

STATUS

editing

proposed

#11 by Michel Marcus at Fri Dec 23 01:29:19 EST 2016

CROSSREFS

For the corresponding primes p, see A163425.

STATUS

proposed

editing

Discussion

Fri Dec 23

01:30

Michel Marcus: Maybe  (p-1)^3/8+(p+1)^2/4 : A163425 way is more legible (less parentheses)

#10 by Jon E. Schoenfield at Fri Dec 23 01:05:36 EST 2016

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Fri Dec 23 01:05:34 EST 2016

EXAMPLE

((3-1)/2)^3 + ((3+1)/2)^2 = 1 + 4 = 5,;

((5-1)/2)^3 + ((5+1)/2)^2 = 8 + 9 = 17,;

((7-1)/2)^3 + ((7+1)/2)^2 = 27 + 16 = 43,..

STATUS

approved

editing