This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A076730 Maximum number of (distinct) primes that an n-digit number may shelter (i.e., primes contained among all digital substrings' permutations). 3
 1, 4, 11, 31, 106, 402, 1953, 10542, 75447, 398100, 3605464 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See sequence A134596 for the (least, n digit) numbers m which yield these maximum values for A039993. - M. F. Hasler, Mar 11 2014 LINKS M. Keith, Integers containing many embedded primes W. Schneider, MATHEWS, Primeval Numbers FORMULA a(n) = max { A039993(m); m in A072857 and m < 10^n }. - M. F. Hasler, Mar 12 2014 EXAMPLE We have a(3)=11, since among numbers 100 through 999, the smallest ones having 5, 6, 7, 8, 10, 11 embedded primes are respectively 107, 127, 113, 167, 179, 137 (the last of these being the first reaching the maximum number of 11 embedded primes, viz. 3, 7, 13, 17, 31, 37, 71, 73, 137, 173, 317). PROG (PARI) a(n, m=0)=for(k=10^(n-1), 10^n-1, A039993(k)>m&&m=A039993(k)); m \\ M. F. Hasler, Mar 09 2014 CROSSREFS Cf. A072857, A076449. Cf. A075053 (a variant of A039993), A134597 (variant or incorrect version of A134596). Sequence in context: A282856 A296572 A176573 * A084757 A155962 A027153 Adjacent sequences:  A076727 A076728 A076729 * A076731 A076732 A076733 KEYWORD hard,more,base,nonn AUTHOR Lekraj Beedassy, Nov 08 2002 EXTENSIONS Link fixed by Charles R Greathouse IV, Aug 13 2009 a(6) from M. F. Hasler, Mar 09 2014 a(7) - a(11) from Robert G. Wilson v, Mar 11 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 19 05:05 EDT 2019. Contains 323377 sequences. (Running on oeis4.)