The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A037151 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A037151

Smallest prime > n!.
(history; published version)

#25 by Michael De Vlieger at Sun May 22 14:30:38 EDT 2022

STATUS

proposed

approved

#24 by Michael S. Branicky at Sun May 22 14:01:14 EDT 2022

STATUS

editing

proposed

#23 by Michael S. Branicky at Sun May 22 14:01:12 EDT 2022

DATA

2, 3, 7, 29, 127, 727, 5051, 40343, 362897, 3628811, 39916801, 479001629, 6227020867, 87178291219, 1307674368043, 20922789888023, 355687428096031, 6402373705728037, 121645100408832089, 2432902008176640029, 51090942171709440031, 1124000727777607680031

PROG

(Python)

from sympy import factorial, nextprime

def a(n): return nextprime(factorial(n))

print([a(n) for n in range(1, 23)]) # Michael S. Branicky, May 22 2022

STATUS

proposed

editing

#22 by Michel Marcus at Sun May 22 13:40:12 EDT 2022

STATUS

editing

proposed

#21 by Michel Marcus at Sun May 22 13:40:10 EDT 2022

LINKS

Antonín Čejchan, Michal Křížek, and Lawrence Somer, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL25/Krizek/krizek3.html">On Remarkable Properties of Primes Near Factorials and Primorials</a>, Journal of Integer Sequences, Vol. 25 (2022), Article 22.1.4.

STATUS

approved

editing

#20 by Susanna Cuyler at Wed Aug 07 06:57:29 EDT 2019

STATUS

proposed

approved

#19 by Michel Marcus at Wed Aug 07 06:48:04 EDT 2019

STATUS

editing

proposed

#18 by Michel Marcus at Wed Aug 07 06:47:58 EDT 2019

CROSSREFS

Cf. A000142, A033932, A087421, A151800.

STATUS

proposed

editing

#17 by Hugo Pfoertner at Wed Aug 07 06:30:48 EDT 2019

STATUS

editing

proposed

#16 by Hugo Pfoertner at Wed Aug 07 06:29:55 EDT 2019

LINKS

Hugo Pfoertner, <a href="/A037151/b037151.txt">Table of n, a(n) for n = 1..450</a>

CROSSREFS

Cf. A033932, A087421.

STATUS

approved

editing