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 A114147 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). 0
 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; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS EXAMPLE 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 sequence itself PROG (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], ", "))} \\ Klaus Brockhaus CROSSREFS Sequence in context: A076697 A001606 A014554 * A281276 A025516 A191174 Adjacent sequences:  A114144 A114145 A114146 * A114148 A114149 A114150 KEYWORD base,easy,nonn,changed AUTHOR STATUS approved

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Last modified June 23 05:11 EDT 2021. Contains 345395 sequences. (Running on oeis4.)