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Search: id:A101597
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| A101597 |
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Number of consecutive composite numbers between balanced primes and their lower or upper prime neighbor. |
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+0
2
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| 1, 5, 5, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 5, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 5, 5, 5, 5, 11, 5, 5, 5, 5, 11, 11, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 11, 5, 5, 5, 5, 5, 5, 5, 5, 5
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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These numbers are not always prime with 35 occurring for prime(n) n<1000000.
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EXAMPLE
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53 has the 5 consecutive composites 48,49,50,51,52 below it and the 5 consecutive composites 54,55,56,57,58 above it so 5 is in the second position in the table.
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PROGRAM
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(PARI) betwixtpr(n) = { local(c1, c2, x, y); for(x=2, n, c1=c2=0; for(y=prime(x-1)+1, prime(x)-1, if(!isprime(y), c1++); ); for(y=prime(x)+1, prime(x+1)-1, if(!isprime(y), c2++); ); if(c1==c2, print1(c1", ")) ) }
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CROSSREFS
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Sequence in context: A087516 A135089 A127310 this_sequence A119991 A131286 A013607
Adjacent sequences: A101594 A101595 A101596 this_sequence A101598 A101599 A101600
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jan 26 2005
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