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Search: id:A073123
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| A073123 |
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a(n) is the largest number such that PrimePi[a(n)]=Prime[n]. |
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+0
2
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| 4, 6, 12, 18, 36, 42, 60, 70, 88, 112, 130, 162, 180, 192, 222, 250, 280, 292, 336, 358, 372, 408, 432, 462, 520, 556, 568, 592, 600, 618, 718, 742, 786, 808, 862, 880, 928, 970, 996, 1032, 1068, 1090, 1162, 1180, 1212, 1222, 1300, 1422, 1438, 1450, 1480
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes with prime subscripts correspond to least numbers m, such that PrimePi[m]=Prime[n].
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FORMULA
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a(n)=Max{x; A000720(x)=A000040(n)}=1+A006450(n)
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EXAMPLE
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n=25: p(25)=97, for 12 terms X={509,510,511,512,513,514,515,516,517,518,519,520} Pi[X]=97. Largest a(25)=520, smallest=A006450(25), number of terms = A073124(25).
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CROSSREFS
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Cf. A000720, A000040, A006450, A073124.
Equals A072677(n) - 1.
Sequence in context: A072570 A014574 A034425 this_sequence A079865 A027856 A048641
Adjacent sequences: A073120 A073121 A073122 this_sequence A073124 A073125 A073126
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 16 2002
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