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 A276650 Primes of the form prime(n)^n - PrimePi(n). 0
 2, 2399, 1801152661459, 73885357344138503765443 (list; graph; refs; listen; history; text; internal format)
 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 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

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Last modified August 25 05:19 EDT 2019. Contains 326318 sequences. (Running on oeis4.)