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A137382
Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)).
0
7, 51, 371, 25116, 184807, 15161948, 119510273, 10619203228, 8117133311259, 66755371425339, 59943578764218680, 5202903726035784628, 44211655386352360485, 4351545315671679793432
OFFSET
1,1
FORMULA
a(n) = A071973(prime(n+1)) - A071973(prime(n)). - Amiram Eldar, Jun 14 2024
EXAMPLE
7 primes between Pi^2 (9.8...) and Pi^3 (31.0...).
51 primes between Pi^3 (31.0...) and Pi^5 (306.0...).
371 primes between Pi^5 (306.0...) and Pi^7 (3020.29...).
MATHEMATICA
Table[PrimePi[Pi^(Prime[n + 1])] - PrimePi[Pi^(Prime[n])], {n, 1, 8}]
CROSSREFS
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
a(9)-a(14) calculated from the data at A071973 and added by Amiram Eldar, Jun 14 2024
STATUS
approved