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A162174
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Primes classified by level.
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17
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5, 13, 19, 23, 31, 37, 43, 47, 53, 61, 73, 97, 113, 127, 131, 139, 151, 157, 163, 173, 181, 199, 211, 223, 233, 257, 263, 271, 293, 307, 313, 317, 337, 353, 373, 389, 397, 401, 421, 457, 479, 509, 523, 541, 547, 563, 571, 593, 607, 619, 647, 653, 661, 673, 691
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OFFSET
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1,1
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COMMENTS
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Conjecture : primes classified by level are rarefying among prime numbers.
A000040(n) = 2, 3, 7, A162175(n), a(n) [From Rémi Eismann, Jun 27 2009]
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LINKS
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R. Eismann, Table of n, a(n) for n=1,..,10000
Remi Eismann, Decomposition of natural numbers into weight * level + jump and application to a new classification of prime numbers
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FORMULA
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If for prime(n), A117078(n) (the weight) > A117563(n) (the level) then prime(n) is classified by level.
If for prime(n), A117078(n) (the weight) <= A117563(n) (the level) and A117078(n) <> 0 then prime(n) is classified by weight. [From Rémi Eismann, Jun 27 2009]
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EXAMPLE
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For prime(3)=5, A117078(3)=3 > A117563(3)=1 ; prime(3)=5 is classified by level. For prime(172)=1021, A117078(172)=337 > A117563(172)=3 ; prime(172)=1021 is classified by level.
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CROSSREFS
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Cf. A117078, A117563, A000040.
Cf. A162175. [From Rémi Eismann, Jun 27 2009]
Sequence in context: A067463 A209663 A156111 * A171603 A118915 A084442
Adjacent sequences: A162171 A162172 A162173 * A162175 A162176 A162177
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KEYWORD
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nonn
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AUTHOR
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Rémi Eismann, Jun 27 2009
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STATUS
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approved
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