The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344871 a(n) is the least number that can be represented in exactly n ways as the sum of a prime and its digit reversal. 1

%I #12 Jun 01 2021 02:15:54

%S 1,4,44,88,1090,3212,4334,2992,5995,4994,7997,9779,5104,11110,11891,

%T 10109,11000,10780,108880,110500,252142,278872,296692,293282,308902,

%U 287782,411103,289982,466664,281072,457754,398893,298892,462154,517814,494384,299992,707806,471064,476674,487784,467764

%N a(n) is the least number that can be represented in exactly n ways as the sum of a prime and its digit reversal.

%C If the reversal of p is another prime, p+reversal(p) and reversal(p)+p are both counted.

%C a(n) is the first number that occurs exactly n times in A061227.

%H Robert Israel, <a href="/A344871/b344871.txt">Table of n, a(n) for n = 0..92</a>

%e a(4) = 1090 because 1090 = 149+941 = 347+743 = 743+347 = 941+149, and this is the least number with exactly four such representations.

%p revdigs:= proc(n) local L,t;

%p L:= convert(n,base,10);

%p add(L[-t]*10^(t-1),t=1..nops(L));

%p end proc:

%p V:= Vector(10^6):

%p p:= 1:

%p do

%p p:= nextprime(p);

%p if p > 9*10^5 then break fi;

%p r:= p+revdigs(p);

%p if r <= 10^6 then V[r]:= V[r]+1 fi

%p od:

%p A:= Array(0..64):

%p for i from 1 to 10^6 do

%p if V[i] <= 64 and A[V[i]] = 0 then A[V[i]]:= i fi

%p od:

%p convert(A,list);

%Y Cf. A004086, A061227, A056964.

%K nonn,base

%O 0,2

%A _J. M. Bergot_ and _Robert Israel_, May 31 2021

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 12:12 EDT 2024. Contains 372858 sequences. (Running on oeis4.)