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 A061112 Minimum number of divisors for any composite between prime(n) and prime(n+1). 2
 3, 4, 3, 6, 4, 6, 4, 3, 8, 4, 4, 8, 4, 3, 4, 12, 4, 4, 12, 4, 4, 4, 4, 6, 8, 4, 12, 4, 3, 4, 4, 8, 4, 12, 4, 4, 4, 3, 4, 18, 4, 14, 4, 12, 4, 4, 4, 12, 8, 4, 20, 4, 4, 4, 4, 16, 4, 4, 8, 3, 4, 4, 16, 4, 4, 4, 4, 12, 8, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 24, 4, 20, 4, 8, 4, 4, 4, 16, 4, 4, 4, 4, 4, 4, 4, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Harry J. Smith, Table of n, a(n) for n = 2,...,1000 FORMULA a(n)=Min{d(c); p(n+1)>c>p(n)}, c is composite, p(n) is the n-th prime and d=A000005() EXAMPLE p(30)=113 is followed by 13 composites; numbers of divisors are {8, 4, 6, 6, 4, 4, 16, 3, 4, 4, 6, 4, 12}, The smallest is 4=a(30) and the largest is 16. PROG (PARI) { n=-1; q=3; m=10^6; forprime (p=5, prime(1003), a=m; for (i=q + 1, p - 1, a=min(numdiv(i), a)); q=p; write("b061112.txt", n++, " ", a) ) } \\ Harry J. Smith, Jul 19 2009 CROSSREFS Sequence in context: A338128 A242801 A021295 * A078809 A245218 A097857 Adjacent sequences:  A061109 A061110 A061111 * A061113 A061114 A061115 KEYWORD nonn AUTHOR Labos Elemer, May 29 2001 STATUS approved

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Last modified September 26 17:30 EDT 2021. Contains 347670 sequences. (Running on oeis4.)