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A295837
Numbers k such that (37*10^k + 341)/9 is prime.
0
1, 2, 4, 7, 10, 11, 17, 20, 65, 70, 811, 947, 1099, 1487, 1540, 6617, 15067, 18433, 19063, 31462, 131270
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OFFSET
1,2
COMMENTS
For k > 1, numbers k such that the digit 4 followed by k-2 occurrences of the digit 1 followed by the digits 49 is prime (see Example section).
a(22) > 2*10^5.
LINKS
Table of n, a(n) for n=1..21.
Makoto Kamada,
Factorization of near-repdigit-related numbers
.
Makoto Kamada,
Search for 41w49
.
EXAMPLE
2 is in this sequence because (37*10^2 + 341)/9 = 449 is prime.
Initial terms and associated primes:
a(1) = 1, 79;
a(2) = 2, 449;
a(3) = 4, 41149;
a(4) = 7, 41111149;
a(5) = 10, 41111111149; etc.
MATHEMATICA
Select[Range[0, 100000], PrimeQ[(37*10^# + 341)/9] &]
CROSSREFS
Cf.
A056654
,
A268448
,
A269303
,
A270339
,
A270613
,
A270831
,
A270890
,
A270929
,
A271269
.
Sequence in context:
A153383
A278997
A342782
*
A321972
A288482
A177093
Adjacent sequences:
A295834
A295835
A295836
*
A295838
A295839
A295840
KEYWORD
nonn
,
more
,
hard
AUTHOR
Robert Price
, Nov 28 2017
EXTENSIONS
a(21) from
Robert Price
, Aug 14 2018
STATUS
approved