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A203015
Primes p such that p + 1 or p - 1 is in
A066120
.
0
2, 3, 23, 8641, 653184001, 1601591599167888308924824752807936000000000000001
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OFFSET
1,1
COMMENTS
What is the next prime? As of January 2012, there are no known primes ending in 9 with this property.
LINKS
Table of n, a(n) for n=1..6.
G. L. Honaker, Jr. and Chris Caldwell,
Prime Curios! 8641
FORMULA
a(n) are the prime values of p(0)# * (p(0)# * p(1)#) * (p(0)# * p(1)# * p(2)#) * (p(0)# * p(1)# * p(2)# * ... * p(n)#) +/- 1.
EXAMPLE
A002110
(1)^3*
A002110
(2)^2*
A002110
(3) + 1 = 8641, which is prime.
MATHEMATICA
Select[Flatten[Table[Product[Product[Product[Prime[i], {i, j}], {j, k}], {k, n}] - 1 + m, {n, 0, 7}, {m, 0, 2, 2}]], PrimeQ]
CROSSREFS
Cf.
A066120
,
A002110
.
Sequence in context:
A076530
A360225
A238265
*
A260420
A241661
A260071
Adjacent sequences:
A203012
A203013
A203014
*
A203016
A203017
A203018
KEYWORD
hard
,
nonn
AUTHOR
Arkadiusz Wesolowski
, Jan 06 2012
STATUS
approved
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Last modified March 29 04:59 EDT 2024. Contains 371264 sequences. (Running on oeis4.)