VOOZH
about
URL: https://oeis.org/A139573
⇱ A139573 - OEIS
login
A139573
Numbers with 41 divisors.
17
1099511627776, 12157665459056928801, 9094947017729282379150390625, 6366805760909027985741435139224001, 452592555681759518058893560348969204658401
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,1
COMMENTS
40th powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.
LINKS
T. D. Noe,
Table of n, a(n) for n = 1..1000
OEIS Wiki,
Index entries for number of divisors
FORMULA
a(n)=
A000040
(n)^(41-1)=
A000040
(n)^40.
MATHEMATICA
Prime[Range[9]]^40 (*
Vladimir Joseph Stephan Orlovsky
, May 05 2011 *)
PROG
(PARI) a(n)=prime(n)^40 \\
Charles R Greathouse IV
, Jun 19 2016
CROSSREFS
Cf.
A000005
,
A000040
,
A001248
,
A030514
,
A030516
,
A030629
,
A030631
,
A030635
,
A030637
,
A137486
,
A137492
,
A139571
,
A139572
.
Sequence in context:
A186178
A287251
A165987
*
A263205
A095428
A227893
Adjacent sequences:
A139570
A139571
A139572
*
A139574
A139575
A139576
KEYWORD
nonn
,
easy
AUTHOR
Omar E. Pol
, May 07 2008
EXTENSIONS
More terms from
Jon E. Schoenfield
, May 18 2010
STATUS
approved