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 A036337 Largest integer with n digits and exactly n prime factors (counted with multiplicity). 3
 7, 95, 994, 9999, 99996, 999992, 9999968, 99999840, 999999968, 9999999900, 99999999840, 999999999744, 9999999998720, 99999999998400, 999999999999000, 9999999999999744, 99999999999995904, 999999999999967232, 9999999999999989760, 99999999999999995904 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If all prime factors are distinct then a(n) >= A002110(n) which might give a contradiction for large enough n and so some primes have a multiplicity > k for some nonnegative k. - David A. Corneth, Oct 30 2018 LINKS C. Rivera, Composed primes (a related puzzle). EXAMPLE 95 = 5 * 19, while 96, 97, 98, 99 and 100 have, respectively, 6,1,3,3 and 4 prime factors; thus 95 is the largest two digit number with exactly two prime factors. PROG (PARI) a(n) = forstep(i = 10^n-1, 10^(n-1), -1, if(bigomega(i) == n, return(i))) \\ David A. Corneth, Oct 30 2018 CROSSREFS Cf. A002110, A036335, A036336, A036338. Sequence in context: A015225 A183521 A342109 * A186378 A244856 A201990 Adjacent sequences:  A036334 A036335 A036336 * A036338 A036339 A036340 KEYWORD nonn,base AUTHOR Patrick De Geest, Dec 15 1998 EXTENSIONS More terms and better description from Matthew Conroy, May 25 2001 a(19) and a(20) from Zak Seidov, Oct 30 2018 STATUS approved

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Last modified April 15 01:24 EDT 2021. Contains 342974 sequences. (Running on oeis4.)