

A276650


Primes of the form prime(n)^n  PrimePi(n).


0




OFFSET

1,1


COMMENTS

Searched up to n = 1000.
Searched up to n = 5000, and found no additional entries.  Ethan Beihl, Oct 15 2016


LINKS

Table of n, a(n) for n=1..4.
Farideh Firoozbakht, Prime Curios: Prime(14)^14  pi(14) is prime


EXAMPLE

2 is in the sequence because 2 is prime and 2 = prime(1)^1  PrimePi(1) = 2^1  0.
2399 is in the sequence because 2399 is prime and 2399 = prime(4)^4  PrimePi(4) = 7^4  2.
1801152661459 is in the sequence because 1801152661459 is prime and 1801152661459 = prime(9)^9  PrimePi(9) = 23^9  4.
73885357344138503765443 is in the sequence because 73885357344138503765443 is prime and 73885357344138503765443 = prime(14)^14  PrimePi(14) = 43^14  6.


MATHEMATICA

Select[Map[Prime[#]^#  PrimePi@ # &, Range@ 1500], PrimeQ] (* Michael De Vlieger, Sep 26 2016 *)


PROG

(Sage)
max_n = 20
seq = []
for n in range(1, max_n+1):
p = nth_prime(n)^n  prime_pi(n)
if is_prime(p):
seq.append(p)
print seq


CROSSREFS

Cf. A000720, A062457.
Sequence in context: A288164 A133074 A280312 * A135234 A274962 A199948
Adjacent sequences: A276647 A276648 A276649 * A276651 A276652 A276653


KEYWORD

nonn,more


AUTHOR

Robert C. Lyons, Sep 09 2016


STATUS

approved



