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American Citizen on Wed, 06 Nov 2024 23:41:51 +0100
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Re: Game: find the integers
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- To: Remigiusz Leon Suwalski <remigiusz.suwalski@protonmail.ch>, hermann@stamm-wilbrandt.de
- Subject: Re: Game: find the integers
- From: American Citizen <website.reader3@gmail.com>
- Date: Wed, 6 Nov 2024 14:41:42 -0800
- Cc: pari-users@pari.math.u-bordeaux.fr
- Delivery-date: Wed, 06 Nov 2024 23:41:51 +0100
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This strongly suggests running the following GP-Pari script
for(i=0,100,for(j=1,10000000,n=j*(2^(2*i))-1;k=2*eulerphi(n)-n-1;if(k==0,print(2*i,",",j,",",n))))
but I am not sure of how much time this is going to take.
- Randall
On 11/6/24 13:48, Remigiusz Leon Suwalski wrote:
1, 3, 15, 255, 65535, 83623935, 4294967295, 6992962672132095 have this property (and no other number below 10^25) as stated in https://oeis.org/A050474.
Cheers,
Remigiusz
On Thursday, November 7th, 2024 at 05:04, hermann@stamm-wilbrandt.de <hermann@stamm-wilbrandt.de> wrote:
On 2024-11-06 20:55, American Citizen wrote:
Bill
Is this only true for values of n = 2^[1,2,4,8,16,32,64,128,256,512,
etc] - 1 ??
Randall
No:
? n=2^64-1;
? 2*eulerphi(n)==n+1
0
?
Hermann.