The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A087691

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A087691

Squares of primes of the form 4*k+3.
(history; published version)

#18 by Michael De Vlieger at Fri Dec 02 07:05:10 EST 2022

STATUS

reviewed

approved

#17 by Michel Marcus at Fri Dec 02 05:23:55 EST 2022

STATUS

proposed

reviewed

#16 by Michel Marcus at Fri Dec 02 05:23:39 EST 2022

STATUS

editing

proposed

#15 by Michel Marcus at Fri Dec 02 05:23:34 EST 2022

PROG

(PARI) p4np3(n)= forprime(x=3, n, if(x%4==3, y=x*x; print1(y, " , ")));

STATUS

proposed

editing

#14 by Amiram Eldar at Fri Dec 02 03:49:04 EST 2022

STATUS

editing

proposed

#13 by Amiram Eldar at Fri Dec 02 03:31:13 EST 2022

NAME

Squares of primes of the form 4n4*k+3.

FORMULA

a(n) = A002145(n)^2.

CROSSREFS

a(n)=A002145(n)^2.

Cf. A002145, A243379, A243381.

#12 by Amiram Eldar at Fri Dec 02 03:30:43 EST 2022

FORMULA

From Amiram Eldar, Dec 02 2022: (Start)

Product_{n>=1} (1 + 1/a(n)) = A243381.

Product_{n>=1} (1 - 1/a(n)) = A243379. (End)

CROSSREFS

Cf. A243379, A243381.

STATUS

approved

editing

#11 by Charles R Greathouse IV at Tue Sep 20 10:48:20 EDT 2016

STATUS

editing

approved

#10 by Charles R Greathouse IV at Tue Sep 20 10:48:18 EDT 2016

FORMULA

a(n) ~ 4n^2 * (log n)^2. - Charles R Greathouse IV, Sep 20 2016

PROG

(PARI) p4np3(n) = { forprime(x=3, n, if(x%4==3, y=x*x; print1(y" "))); }

KEYWORD

nonn,easy

STATUS

approved

editing

#9 by N. J. A. Sloane at Tue Oct 01 17:57:43 EDT 2013

AUTHOR

_Cino Hilliard (hillcino368(AT)gmail.com), _, Sep 27 2003

Discussion

Tue Oct 01

17:57

OEIS Server: https://oeis.org/edit/global/1955