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.

A280993 Primes such that the absolute value of the difference between the largest digit and the sum of all the other digits is a cube.

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%I A280993 #64 Dec 31 2021 19:31:33
%S A280993 11,19,23,43,67,89,101,109,113,131,157,167,179,197,199,211,223,241,
%T A280993 257,263,269,311,313,331,337,347,353,359,373,379,397,421,431,449,461,
%U A280993 463,523,541,571,593,607,617,641,643,661,683,719,733,739,743
%N A280993 Primes such that the absolute value of the difference between the largest digit and the sum of all the other digits is a cube.
%C A280993 If the largest digit L (say) is repeated, the criterion is that |L - (sum of all digits except for one copy of L)| is a cube.
%H A280993 David A. Corneth, <a href="/A280993/b280993.txt">Table of n, a(n) for n = 1..10000</a>
%e A280993 The prime 2731 is a term, because 7-2-3-1 = 1 is a cube.
%e A280993 The prime 13 is not in the sequence, as 3-1 = 2, and 2 is not a cube.
%e A280993 The prime 313 is a term because |3 - (1+3)| = 1 is a cube.
%t A280993 Select[Prime[Range[150]],IntegerQ[Surd[Abs[Max[IntegerDigits[#]]-Total[ Most[ Sort[IntegerDigits[#]]]]],3]]&] (* _Harvey P. Dale_, Dec 31 2021 *)
%o A280993 (PARI) listA280993(k, {k0=5})={my(H=List(), y); forprime(z=prime(k0), prime(k), y=digits(z); if(ispower(abs(vecsum(y)-2*vecmax(y)),3), listput(H, z))); return(vector(#H, i, H[i]))} \\ Looks for those belonging terms between prime(k0) and prime(k). - _R. J. Cano_, Feb 06 2017
%Y A280993 A156753 and A156979 are subsequences.
%K A280993 nonn,easy,base
%O A280993 1,1
%A A280993 _Osama Abuajamieh_, Jan 14 2017