cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A074114 Largest n-digit number of the form p^a*q^b... with the maximum value of a+b+.... where p, q etc. are primes.

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%I A074114 #9 Jan 11 2025 18:45:07
%S A074114 8,96,768,8192,98304,786432,8388608,67108864,805306368,8589934592,
%T A074114 68719476736,824633720832,8796093022208,70368744177664,
%U A074114 844424930131968,9007199254740992,72057594037927936,864691128455135232,9223372036854775808,73786976294838206464
%N A074114 Largest n-digit number of the form p^a*q^b... with the maximum value of a+b+.... where p, q etc. are primes.
%F A074114 The elements of this sequence have the form 2^a*3^b where a is an integer and b is either 0 or 1. - _Stefan Steinerberger_, Nov 05 2005
%F A074114 If 2^(floor(log_2(10^n))) < (2/3)*10^n then a(n)=2^(floor(log_2(10^n)))*3, otherwise a(n) is 2^(floor(log_2(10^n))), where log_2 denotes the logarithm in base 2. - _Stefan Steinerberger_, Nov 15 2005
%e A074114 a(2) = 96 = 2^5*3 a+b 5+1= 6 and is the maximum one can get with the largest two digit number 96.
%Y A074114 Cf. A074113.
%K A074114 base,nonn
%O A074114 1,1
%A A074114 _Amarnath Murthy_, Aug 27 2002
%E A074114 a(5)-a(14) from _Stefan Steinerberger_, Nov 15 2005
%E A074114 More terms from _Sean A. Irvine_, Jan 11 2025