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Revision History for A273010 (Underlined text is an addition; strikethrough text is a deletion.)

Showing all changes.
A273010 Numbers n such that (9^n - 7^n)/2 is prime.
(history; published version)
#10 by Alois P. Heinz at Sat Jul 29 22:37:19 EDT 2023
STATUS

proposed

approved

#9 by Jon Grantham at Sat Jul 29 22:14:06 EDT 2023
STATUS

editing

proposed

#8 by Jon Grantham at Sat Jul 29 22:14:00 EDT 2023
DATA

3, 5, 7, 4703, 30113, 835391

LINKS

Jon Grantham and Andrew Granville, <a href="https://arxiv.org/abs/2307.07894">Fibonacci primes, primes of the form 2^n-k and beyond</a>, arXiv:2307.07894 [math.NT], 2023.

EXTENSIONS

a(6) from Jon Grantham, Jul 29 2023

STATUS

approved

editing

#7 by N. J. A. Sloane at Fri May 27 07:27:38 EDT 2016
STATUS

proposed

approved

#6 by Tim Johannes Ohrtmann at Mon May 23 03:04:15 EDT 2016
STATUS

editing

proposed

#5 by Johannes W. Meijer at Sat May 21 19:31:36 EDT 2016
CROSSREFS

Cf. A081202, A173718, A128346, A059803.

STATUS

reviewed

editing

#4 by G. C. Greubel at Sat May 21 02:27:50 EDT 2016
STATUS

proposed

reviewed

#3 by Tim Johannes Ohrtmann at Fri May 13 05:21:53 EDT 2016
STATUS

editing

proposed

#2 by Tim Johannes Ohrtmann at Fri May 13 05:14:51 EDT 2016
NAME

allocatedNumbers n forsuch Timthat (9^n - 7^n)/2 Johannesis Ohrtmannprime.

DATA

3, 5, 7, 4703, 30113

OFFSET

1,1

COMMENTS

All terms are prime.

The corresponding primes: 193, 21121, 1979713, ...

MATHEMATICA

Select[Range[1, 10000], PrimeQ[(9^# - 7^#)/2] &]

PROG

(PARI) for(n=1, 10000, if(isprime((9^n - 7^n)/2), print1(n, ", ")))

CROSSREFS

Cf. A173718, A128346, A059803.

KEYWORD

allocated

nonn,more,hard

AUTHOR

Tim Johannes Ohrtmann, May 13 2016

STATUS

approved

editing

#1 by Tim Johannes Ohrtmann at Fri May 13 05:14:51 EDT 2016
NAME

allocated for Tim Johannes Ohrtmann

KEYWORD

allocated

STATUS

approved

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Last modified August 30 11:14 EDT 2024. Contains 375543 sequences. (Running on oeis4.)