VOOZH
about
URL: https://oeis.org/A165700
⇱ A165700 - OEIS
login
A165700
Numbers k such that k*10^(k+1) + 1 is prime.
0
1, 7, 39, 1203, 10723, 11971
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
COMMENTS
Numbers n such that the number that begins with n, followed by n zeros, ends with 1 is prime.
Those numbers corresponding to a(4), a(5) and a(6) are probable primes.
There is no further term up to 14000.
There is no further term up to 30000. -
Michael S. Branicky
, Mar 22 2023
There is no further term up to 50000. -
Michael S. Branicky
, Oct 13 2024
LINKS
Table of n, a(n) for n=1..6.
MATHEMATICA
Do[If[PrimeQ[n*10^(n+1)+1], Print[n]], {n, 14000}]
PROG
(PARI) is(n)=isprime(n*10^(n+1)+1) \\
Charles R Greathouse IV
, Jun 13 2017
CROSSREFS
Cf.
A068817
,
A084428
.
Sequence in context:
A207152
A135059
A203200
*
A249635
A164135
A119056
Adjacent sequences:
A165697
A165698
A165699
*
A165701
A165702
A165703
KEYWORD
base
,
hard
,
more
,
nonn
AUTHOR
Farideh Firoozbakht
, Sep 25 2009
STATUS
approved