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 A171744 a(n) is the smallest exponent such that prime(n)^k is pandigital in base 10. 4
 68, 39, 19, 18, 23, 22, 14, 17, 14, 12, 11, 13, 11, 13, 12, 13, 11, 14, 10, 15, 14, 13, 9, 11, 13, 9, 15, 14, 13, 12, 11, 15, 10, 7, 12, 9, 12, 10, 11, 8, 11, 8, 12, 11, 13, 13, 10, 12, 10, 8, 11, 12, 9, 7, 6, 7, 8, 12, 8, 8, 7, 7, 10, 9, 9, 6, 9, 10, 9, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. REFERENCES E.I. Ignatjew, Mathematische Spielereien, Urania Verlag Leipzig-Jena-Berlin, 2. Auflage 1982. Helmut Kracke, Mathe-musische Knobelisken, Duemmler Bonn, 2. Auflage 1983. LINKS David A. Corneth, Table of n, a(n) for n = 1..10000 EXAMPLE 2^68 = 295147905179352825856 (21 digits), 3^39 = 4052555153018976267 (19) 5^19 = 19073486328125 (14), 7^18 = 1628413597910449 (16), 11^23 = 895430243255237372246531 (24) 13^22 = 3211838877954855105157369 (25), 17^14 = 168377826559400929 (18) 19^17 = 5480386857784802185939 22), 23^14 = 11592836324538749809 (20) 29^12 = 353814783205469041 (18), 31^11 = 25408476896404831 (17) 37^13 = 243569224216081305397 (21), 41^11 = 550329031716248441 (18) 43^13 = 1718264124282290785243 (22), 47^12 = 116191483108948578241 (21) 53^13 = 26036721925606486195973 (23), 59^11 = 30155888444737842659 (20) 61^14 = 9876832533361318095112441 (25), 67^10 = 1822837804551761449 (19) 71^15 = 5873205959385493353867330551 (28), 73^14 = 122045014039746588673695409 (23) 79^13 = 4668229371502258117133839 (25), 83^9 = 186940255267540403 (18) 89^11 = 2775173073766990340489 (22), 97^13 = 67302709016557486028618977 (26) 101^9 = 1093685272684360901 (19), 103^15 = 1557967416600764580522382952407 (31) 107^14 = 25785341502012466393542552649 (29), 109^13 = 306580461214335498944273629 (27) 113^12 = 4334523100191686738306881 (25), 127^11 = 138624799340320978519423 (24) MATHEMATICA sepan[n_]:=Module[{p=Prime[n], k=1}, While[Min[DigitCount[p^k]]==0, k++]; k]; Array[sepan, 100] (* Harvey P. Dale, Aug 03 2019 *) PROG (PARI) a(n) = {my(k=1, p=prime(n)); while(#Set(digits(p^k))<10, k++); k; } \\ Jinyuan Wang, Aug 14 2020 CROSSREFS Cf. A049363, A050278, A050288, A171132. Sequence in context: A033388 A196109 A196106 * A090493 A259081 A143737 Adjacent sequences: A171741 A171742 A171743 * A171745 A171746 A171747 KEYWORD nonn,base AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Dec 17 2009 EXTENSIONS Edited by Charles R Greathouse IV, Aug 02 2010 Corrected and extended by Harvey P. Dale, Aug 03 2019 STATUS approved

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Last modified December 1 07:48 EST 2023. Contains 367468 sequences. (Running on oeis4.)