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A107083
Integers k such that 10^k + 31 is prime.
26
1, 2, 3, 14, 18, 44, 54, 89, 469, 2060, 2985, 6197, 16452, 19393, 21205, 49657, 74670, 76374
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OFFSET
1,2
COMMENTS
The next term, if one exists, is >100000. -
Robert Price
, Apr 26 2011
See Kamada link - primecount.txt for terms, primesize.txt for discovery details including proofs of primality - search on "10031".
LINKS
Table of n, a(n) for n=1..18.
Makoto Kamada,
List of near-repdigit-related prime numbers
.
Index entries for primes involving repunits
.
EXAMPLE
For k = 3 we get 10^3 + 31 = 1000 + 31 = 1031, which is prime.
MATHEMATICA
a={}; Do[If[PrimeQ[p=10^n+31], AppendTo[a, n]], {n, 0, 6*10^2}]; a (*
Vladimir Joseph Stephan Orlovsky
, Aug 07 2008 *)
CROSSREFS
Cf.
A049054
,
A088274
,
A088275
,
A095688
,
A108052
,
A108050
,
A108049
,
A108054
.
Sequence in context:
A041010
A041733
A212112
*
A266694
A284928
A374232
Adjacent sequences:
A107080
A107081
A107082
*
A107084
A107085
A107086
KEYWORD
more
,
nonn
AUTHOR
Julien Peter Benney (jpbenney(AT)ftml.net), Jun 08 2005
EXTENSIONS
16452 and 19393 from
Robert Price
, Mar 22 2010
Additional term (21205) from
Robert Price
, May 24 2010
Missing term (6197) added by
Robert Price
, Dec 07 2010
Edited by
Ray Chandler
, Dec 23 2010
a(16)=49657 from
Robert Price
, Dec 31 2010
a(17)=74670 from
Robert Price
, Jan 29 2011
a(18)=76374 from
Robert Price
, Mar 03 2011
STATUS
approved