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A221860
Indices k such that prime(k) - k is a power of 2.
1
1, 2, 3, 15, 39, 2119, 4189897, 5812974437
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OFFSET
1,2
COMMENTS
The only primes in this sequence below primepi(10^8) are 2, 3 and 4189897.
prime(5812974437) - 5812974437 = 2^37. -
Giovanni Resta
, Apr 10 2013
a(9) > 1.4*10^16, if it exists. -
Chai Wah Wu
, Apr 24 2018
LINKS
Table of n, a(n) for n=1..8.
Re: 2^k - prime(p) or prime(p) - 2^k ?
, SeqFan mailing list, Apr 10 2013
FORMULA
A000040
(a(n))-a(n) = 2^floor(log[2](
A000040
(a(n)))) for all n>1.
PROG
(PARI) n=0; forprime(p=1, 10^8, n++; (t=p-n)==1<<valuation(t, 2)&print1(n", "))
CROSSREFS
Cf.
A014689
.
Sequence in context:
A143880
A037388
A298370
*
A216339
A048076
A203432
Adjacent sequences:
A221857
A221858
A221859
*
A221861
A221862
A221863
KEYWORD
nonn
,
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AUTHOR
M. F. Hasler
, Apr 10 2013
EXTENSIONS
a(8) from
Giovanni Resta
, Apr 10 2013
STATUS
approved