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A137382
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Number of primes between Pi^(prime(n)) and Pi^(prime(n+1)).
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0
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7, 51, 371, 25116, 184807, 15161948, 119510273, 10619203228, 8117133311259, 66755371425339, 59943578764218680, 5202903726035784628, 44211655386352360485, 4351545315671679793432
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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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...).
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MATHEMATICA
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Table[PrimePi[Pi^(Prime[n + 1])] - PrimePi[Pi^(Prime[n])], {n, 1, 8}]
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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