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Search: id:A114147
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| A114147 |
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Self-describing sequence : 1 prime between two nonprimes, then 2 primes between two nonprimes, then 4 primes, then 5, then 7, etc. The quantity of primes in each run is given by the sequence itself. (Sequence is strictly increasing and the smallest next available nonprime is used when needed). |
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1
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| 1, 2, 4, 5, 7, 8, 11, 13, 17, 19, 20, 23, 29, 31, 37, 41, 42, 43, 47, 53, 59, 61, 67, 71, 72, 73, 79, 83, 89, 97, 101, 103, 107, 108, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 168, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 240, 241
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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PARI program by Klaus Brockhaus.
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EXAMPLE
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Runs of primes are between brackets:
1,(2),4,(5,7),8,(11,13,17,19),20,(23,29,31,37,41),42,(43,47,53,59,61,67,71)
.^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^
1 prime 2 pr. 4 primes 5 primes 7 primes (etc.) = the seq. itself
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PROGRAM
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(PARI) {m=10; k=1; v=[k]; for(j=1, m, for(count=1, v[j], k=nextprime(k+1); v=concat(v, k)); while(isprime(k), k++); v=concat(v, k)); for(n=1, #v, print1(v[n], ", "))}
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CROSSREFS
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Adjacent sequences: A114144 A114145 A114146 this_sequence A114148 A114149 A114150
Sequence in context: A076697 A001606 A014554 this_sequence A025516 A072920 A107899
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KEYWORD
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base,easy,nonn
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AUTHOR
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Eric Angelini & Alexandre Wajnberg (eric.angelini(AT)kntv.be),
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