VOOZH
about
URL: https://oeis.org/A293397
⇱ A293397 - OEIS
login
A293397
Numbers k such that 8*10^k + 87 is prime.
0
1, 2, 3, 6, 7, 8, 9, 21, 41, 51, 63, 67, 85, 174, 272, 297, 533, 697, 1326, 1344, 10668, 10814, 26252, 51721, 80342, 123657, 166227, 171296
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
COMMENTS
For k > 1, numbers k such that the digit 8 followed by k-2 occurrences of the digit 0 followed by the digits 87 is prime (see Example section).
a(29) > 2*10^5.
LINKS
Table of n, a(n) for n=1..28.
Makoto Kamada,
Factorization of near-repdigit-related numbers
.
Makoto Kamada,
Search for 80w87
.
EXAMPLE
3 is in this sequence because 8*10^3 + 87 = 887 is prime.
Initial terms and associated primes:
a(1) = 1, 167;
a(2) = 2, 887;
a(3) = 3, 8087;
a(4) = 6, 8000087;
a(5) = 7, 80000087; etc.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[8*10^# + 87] &]
PROG
(PARI) isok(k) = isprime(8*10^k + 87); \\
Altug Alkan
, Oct 08 2017
CROSSREFS
Cf.
A056654
,
A268448
,
A269303
,
A270339
,
A270613
,
A270831
,
A270890
,
A270929
,
A271269
.
Sequence in context:
A387580
A306556
A257262
*
A059590
A276156
A144705
Adjacent sequences:
A293394
A293395
A293396
*
A293398
A293399
A293400
KEYWORD
nonn
,
more
,
hard
AUTHOR
Robert Price
, Oct 08 2017
EXTENSIONS
a(26)-a(28) from
Robert Price
, Oct 19 2019
STATUS
approved