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A093162
Primes of the form 20*R_k + 3, where R_k is the repunit (
A002275
) of length k.
3
3, 23, 223, 22222223, 22222222223, 222222222222222222222222222222222223
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OFFSET
1,1
COMMENTS
The next term (a(7)) has 95 digits. -
Harvey P. Dale
, Dec 26 2022
LINKS
Table of n, a(n) for n=1..6.
Makoto Kamada,
Prime numbers of the form 22...223
.
Index entries for primes involving repunits
FORMULA
a(n) = (20*10^
A056656
(n) + 7)/9 = (2*10^
A096506
(n) + 7)/9.
MATHEMATICA
Select[Table[FromDigits[PadLeft[{3}, n, 2]], {n, 40}], PrimeQ] (*
Harvey P. Dale
, Dec 26 2022 *)
CROSSREFS
Cf.
A002275
,
A056656
(corresponding k, and count of digits 2 in a(n)),
A096506
.
Sequence in context:
A305754
A202997
A379782
*
A328808
A206763
A306154
Adjacent sequences:
A093159
A093160
A093161
*
A093163
A093164
A093165
KEYWORD
nonn
AUTHOR
Rick L. Shepherd
, Mar 26 2004
EXTENSIONS
Edited by
Ray Chandler
, Feb 27 2012
STATUS
approved