40,2004& 100000(related to 100K e-party)

[f.firoozbakht at sci.ui.ac.ir]

Dear seqfans:

An interesting point about 40,2004 & 100000 that I found is :

  " 40 is the smallest number m such that both numbers
    prime(100000)-2004*m & prime(100000)+2004*m are primes."

All numbers m with this property are:

     40,65,70,93,103,182,187,192,210,263,270,280,298,312,
     322,348,388,402,448,462,488,492,528,535,613,627,632

Can you find a more interesting relation between three numbers
40,2004 & 100000?

We also have  40*phi(100000)=phi(40)*100000.

Thanks, Farideh.




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