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A067795
Numbers k such that 2*k+1 is the next prime after sigma(k).
1
2, 6, 8, 14, 44, 128, 315, 2144, 32768, 55328384, 815634435
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OFFSET
1,1
COMMENTS
a(12) > 3*10^10. -
Donovan Johnson
, May 16 2011
36674855139367904, 56238963399763208, 39614081257135124284027437056, and 2535301200456482446891450105856 are terms. -
Alexander Violette
, Sep 19 2025
LINKS
Table of n, a(n) for n=1..11.
PROG
(PARI) isok(k) = nextprime(sigma(k)+1) == 2*k+1; \\
Michel Marcus
, Sep 19 2025
CROSSREFS
Cf.
A000203
(sigma).
Sequence in context:
A199697
A339976
A135619
*
A212353
A029933
A228366
Adjacent sequences:
A067792
A067793
A067794
*
A067796
A067797
A067798
KEYWORD
nonn
,
more
AUTHOR
Benoit Cloitre
, Feb 07 2002
EXTENSIONS
Added missing term 2 and a(10)-a(11) from
Donovan Johnson
, May 16 2011
STATUS
approved