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Search: id:A107752
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| A107752 |
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Primes of the form r(r(r(r(r(n)+1)+1)+1)+1)+1, where A141468(n)=r(n)=n-th nonprime. |
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| 2, 37, 67, 71, 101, 103, 137, 151, 157, 179, 197, 199, 211, 227, 239, 257, 263, 277, 281, 311, 331, 347, 353, 359, 367, 373, 379, 401, 419, 443, 457, 461, 467, 499, 503, 509, 521, 523, 541, 563, 571, 577, 587, 613, 641, 647, 659, 661, 673, 677, 709, 719, 733
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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If n=1, then
r(r(r(r(r(1)+1)+1)+1)+1)+1=r(r(r(r(0+1)+1)+1)+1)+1=r(r(r(r(1)+1)+1)+1)+1=r(r(r(0+1)+1)+1)+1=r(r(r(1)+1)+1)+1=r(r(0+1)+1)+1=r(r(1)+1)+1=r(0+1)+1=r(1)+1=0+1=1
(nonprime).
If n=2, then
r(r(r(r(r(2)+1)+1)+1)+1)+1=r(r(r(r(1+1)+1)+1)+1)+1=r(r(r(r(2)+1)+1)+1)+1=r(r(r(1+1)+1)+1)+1=r(r(r(2)+1)+1)+1=r(r(1+1)+1)+1=r(r(2)+1)+1=r(1+1)+1=r(2)+1=1+1=2=a(1).
If n=3, then
r(r(r(r(r(3)+1)+1)+1)+1)+1=r(r(r(r(4+1)+1)+1)+1)+1=r(r(r(r(5)+1)+1)+1)+1=r(r(r(8+1)+1)+1)+1=r(r(r(9)+1)+1)+1=r(r(14+1)+1)+1=r(r(15)+1)+1=r(22+1)+1=r(23)+1=33+1=34
(nonprime).
If n=4, then
r(r(r(r(r(4)+1)+1)+1)+1)+1=r(r(r(r(6+1)+1)+1)+1)+1=r(r(r(r(7)+1)+1)+1)+1=r(r(r(10+1)+1)+1)+1=r(r(r(11)+1)+1)+1=r(r(16+1)+1)+1=r(r(17)+1)+1=r(25+1)+1=r(26)+1=36+1=37=a(2).
If n=5, then
r(r(r(r(r(5)+1)+1)+1)+1)+1=r(r(r(r(8+1)+1)+1)+1)+1=r(r(r(r(9)+1)+1)+1)+1=r(r(r(14+1)+1)+1)+1=r(r(r(15)+1)+1)+1=r(r(22+1)+1)+1=r(r(23)+1)+1=r(33+1)+1=r(34)+1=48+1=49
(nonprime).
If n=6, then
r(r(r(r(r(6)+1)+1)+1)+1)+1=r(r(r(r(9+1)+1)+1)+1)+1=r(r(r(r(10)+1)+1)+1)+1=r(r(r(15+1)+1)+1)+1=r(r(r(16)+1)+1)+1=r(r(24+1)+1)+1=r(r(25)+1)+1=r(35+1)+1=r(36)+1=50+1=51
(nonprime).
If n=7, then
r(r(r(r(r(7)+1)+1)+1)+1)+1=r(r(r(r(10+1)+1)+1)+1)+1=r(r(r(r(11)+1)+1)+1)+1=r(r(r(16+1)+1)+1)+1=r(r(r(17)+1)+1)+1=r(r(25+1)+1)+1=r(r(26)+1)+1=r(36+1)+1=r(37)+1=51+1=52
(nonprime).
If n=8, then
r(r(r(r(r(8)+1)+1)+1)+1)+1=r(r(r(r(12+1)+1)+1)+1)+1=r(r(r(r(13)+1)+1)+1)+1=r(r(r(20+1)+1)+1)+1=r(r(r(21)+1)+1)+1=r(r(30+1)+1)+1=r(r(31)+1)+1=r(44+1)+1=r(45)+1=62+1=63
(nonprime).
If n=9, then
r(r(r(r(r(9)+1)+1)+1)+1)+1=r(r(r(r(14+1)+1)+1)+1)+1=r(r(r(r(15)+1)+1)+1)+1=r(r(r(22+1)+1)+1)+1=r(r(r(23)+1)+1)+1=r(r(33+1)+1)+1=r(r(34)+1)+1=r(48+1)+1=r(49)+1=66+1=67=a
(3).
If n=10, then
r(r(r(r(r(10)+1)+1)+1)+1)+1=r(r(r(r(15+1)+1)+1)+1)+1=r(r(r(r(16)+1)+1)+1)+1=r(r(r(24+1)+1)+1)+1=r(r(r(25)+1)+1)+1=r(r(35+1)+1)+1=r(r(36)+1)+1=r(50+1)+1=r(51)+1=69+1=70
(nonprime)
If n=11, then
r(r(r(r(r(11)+1)+1)+1)+1)+1=r(r(r(r(16+1)+1)+1)+1)+1=r(r(r(r(17)+1)+1)+1)+1=r(r(r(25+1)+1)+1)+1=r(r(r(26)+1)+1)+1=r(r(36+1)+1)+1=r(r(37)+1)+1=r(51+1)+1=r(52)+1=70+1=71=a(4),
etc.
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CROSSREFS
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Cf. A000040, A141468.
Sequence in context: A063999 A062606 A099533 this_sequence A055031 A041161 A106947
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Aug 25 2008
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EXTENSIONS
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127 removed, 151 added, 407 removed and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 05 2008
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