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A280298
Numbers with 67 divisors.
6
73786976294838206464, 30903154382632612361920641803529, 13552527156068805425093160010874271392822265625, 59768263894155949306790119265585619217025149412430681649, 539407797827634189900210968137750826278309533633974732577186113975161
OFFSET
1,1
COMMENTS
Also, 66th powers of primes.
More generally, the n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. In this case, p = 67.
FORMULA
a(n) = A000040(n)^(67-1) = A000040(n)^66.
A000005(a(n)) = 67.
EXAMPLE
a(1) = 2^66, a(2) = 3^66, a(3) = 5^66, a(4) = 7^66, a(5) = 11^66.
MATHEMATICA
Array[Prime[#]^66 &, {5}] (* Michael De Vlieger, Dec 31 2016 *)
PROG
(PARI) a(n)=prime(n)^66
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Dec 31 2016
STATUS
approved