# [seqfan] Re: 10-digit accepting integers

Eric Angelini Eric.Angelini at kntv.be
Mon Oct 27 23:18:19 CET 2014

Hans, bravo!
I've just posted this to Hans Havermann
a couple of seconds ago:

>
Hans, I've just noticed that 411203
accepts also strings like 11,12,14,16, ...

411203
+ 11 = 4.11.11203
+ 12 = 4.12.11203
+ 14 = 4.14.11203
+ 16 = 4.16.11203
+ 20 = 411203.20
+ 21 = 411203.21
+ 23 = 411203.23
+ 25 = 411203.25
+ 30 = 41120.30.3
+ 32 = 41120.32.3
+ 34 = 41120.34.3
+ 38 = 41120.38.3
+ 41 = 411203.41
+ 43 = 411203.43
etc.

Perhaps that 411203 accepts
digits that always sum to a prime?

Best,
É.

Le 27 oct. 2014 à 20:30, "Hans Havermann" <gladhobo at teksavvy.com<mailto:gladhobo at teksavvy.com>> a écrit :

We want to transform this integer into another integer having the same property by inserting single digits somewhere ...

If inserting a zero in front of an integer is an allowable transformation, then 302114 might be the smallest integer for which you are looking. If not, then perhaps 411203.