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A301632
Numbers k such that 3^k + k + 1 is a prime.
3
0, 1, 3, 15, 45, 117, 159, 3739, 3777, 9703, 10623, 21459, 86595
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OFFSET
1,3
COMMENTS
a(14) > 200000. -
Michael S. Branicky
, May 19 2025
LINKS
Table of n, a(n) for n=1..13.
MAPLE
a:=n->`if`(isprime(3^k+k+1), k, NULL): seq(a(k), k=0..6000); #
Muniru A Asiru
, Mar 25 2018
MATHEMATICA
Flatten[{0, Select[Range[5000], PrimeQ[3^# + # + 1] &]}] (*
Vaclav Kotesovec
, Mar 25 2018 *)
PROG
(PARI) for(n=0, 1000, if(isprime(3^n+n+1), print1(n", ")))
CROSSREFS
A182327
gives the primes.
Cf.
A171058
,
A173053
,
A301633
.
Sequence in context:
A050534
A048099
A030505
*
A074355
A201868
A260021
Adjacent sequences:
A301629
A301630
A301631
*
A301633
A301634
A301635
KEYWORD
nonn
,
more
,
hard
AUTHOR
Seiichi Manyama
, Mar 25 2018
EXTENSIONS
a(8)-a(9) from
Muniru A Asiru
, Mar 25 2018
a(10)-a(11) from
Vaclav Kotesovec
, Mar 25 2018
a(12) from
Altug Alkan
, Apr 01 2018
a(13) from
Giovanni Resta
, Apr 06 2018
STATUS
approved