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Revision History for A069922 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of primes p such that n^n <= p <= n^n + n^2.
(history; published version)
#13 by N. J. A. Sloane at Sat Jul 11 01:31:52 EDT 2015
STATUS

reviewed

approved

#12 by Michel Marcus at Sat Jul 11 01:26:29 EDT 2015
STATUS

proposed

reviewed

#11 by Jon E. Schoenfield at Fri Jul 10 18:37:42 EDT 2015
STATUS

editing

proposed

#10 by Jon E. Schoenfield at Fri Jul 10 18:37:31 EDT 2015
NAME

Number of primes p such that n^n <= p <= n^n + n^2.

COMMENTS

Question: for any n>0 , is there at least one prime p such that n^n <= p <= n^n + n^2? In this case, that would be stronger than the Schinzel conjecture : "for m > 1 there's at least one prime p such that m <= p <= m +ln log(m)^2" since n^2 <ln log(n^n)^2 = n^2*lnlog(n)^2.

STATUS

approved

editing

#9 by N. J. A. Sloane at Sun Apr 20 20:50:32 EDT 2014
STATUS

proposed

approved

#8 by Alex Ratushnyak at Sun Apr 20 14:08:32 EDT 2014
STATUS

editing

proposed

#7 by Alex Ratushnyak at Sun Apr 20 14:07:39 EDT 2014
CROSSREFS
EXTENSIONS

a(66)...-a(76) from Alex Ratushnyak, Apr 20 2014

#6 by Alex Ratushnyak at Sun Apr 20 14:03:50 EDT 2014
DATA

1, 2, 2, 4, 1, 5, 4, 1, 2, 5, 1, 4, 4, 9, 7, 6, 2, 4, 7, 9, 7, 3, 7, 10, 10, 6, 12, 6, 10, 7, 8, 10, 7, 9, 13, 13, 7, 10, 11, 11, 9, 13, 11, 10, 15, 10, 11, 10, 19, 14, 16, 11, 16, 21, 20, 12, 9, 15, 21, 12, 10, 16, 15, 22, 19, 17, 18, 12, 19, 20, 13, 17, 13, 13, 17, 23

EXTENSIONS

a(66)...a(76) from Alex Ratushnyak, Apr 20 2014

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:38:58 EDT 2012
AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, May 05 2002

Discussion
Fri Mar 30
18:38
OEIS Server: https://oeis.org/edit/global/216
#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008
KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), May 05 2002