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Revision History for A245427

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Primes of the form n^6 - n^5 + n^4 - n^3 + n^2 - n + 1.
(history; published version)
#9 by Bruno Berselli at Tue Jul 22 11:18:54 EDT 2014
STATUS

editing

approved

#8 by Bruno Berselli at Tue Jul 22 11:09:08 EDT 2014
COMMENTS

All terms == 1 (mod 7). - Robert Israel, Jul 22 2014

#7 by Bruno Berselli at Tue Jul 22 11:08:37 EDT 2014
EXAMPLE

m n = 2: mn^6 - mn^5 + mn^4 - mn^3 + mn^2 - m n + 1 = 43, which is prime.

m n = 10: mn^6 - mn^5 + mn^4 - mn^3 + mn^2 - m n + 1 = 909091, which is prime.

STATUS

proposed

editing

#6 by Robert Israel at Tue Jul 22 02:55:05 EDT 2014
STATUS

editing

proposed

#5 by Robert Israel at Tue Jul 22 02:55:00 EDT 2014
COMMENTS

All terms == 1 mod 7. - Robert Israel, Jul 22 2014

STATUS

proposed

editing

#4 by K. D. Bajpai at Mon Jul 21 13:46:10 EDT 2014
STATUS

editing

proposed

#3 by K. D. Bajpai at Mon Jul 21 13:45:41 EDT 2014
LINKS

K. D. Bajpai, <a href="/A245427/b245427.txt">Table of n, a(n) for n = 1..13520</a>

#2 by K. D. Bajpai at Mon Jul 21 13:42:22 EDT 2014
NAME

allocated for K. D. Bajpai

Primes of the form n^6 - n^5 + n^4 - n^3 + n^2 - n + 1.

DATA

43, 547, 909091, 1623931, 7027567, 10678711, 15790321, 22796593, 32222107, 81867661, 183458857, 234750601, 574995877, 2498207293, 6177695707, 7095062437, 9272716111, 13564461457, 19397579293, 24344094727, 50689400581, 81420308971, 137405657593, 149289169177

OFFSET

1,1

COMMENTS

All the terms in this sequence are primes, but none are congruent to 9 mod 10.

EXAMPLE

m = 2: m^6 - m^5 + m^4 - m^3 + m^2 - m + 1 = 43, which is prime.

m = 10: m^6 - m^5 + m^4 - m^3 + m^2 - m + 1 = 909091, which is prime.

MATHEMATICA

Select[Table[n^6 - n^5 + n^4 - n^3 + n^2 - n + 1, {n, 200}], PrimeQ]

CROSSREFS
KEYWORD

allocated

nonn,new

AUTHOR

K. D. Bajpai, Jul 21 2014

STATUS

approved

editing

#1 by K. D. Bajpai at Mon Jul 21 13:42:22 EDT 2014
NAME

allocated for K. D. Bajpai

KEYWORD

allocated

STATUS

approved