3:23 AM
plot for $\sum_{k=1}^{\infty} (-1)^k(^{2k}x)$
plot for $\sum_{k=0}^{\infty} (-1)^k(^{2k+1}x)$
@TheSimpliFire

16 hours later…
7:34 PM
@TheSimpliFire Hi

Hello Peter

Do you have time and a powerful computer ? Do you have any new number theory project ?

Neither :/
Do you?

OK, perhaps you can help me in this : How can I find out the largest known prime number of the form $2^a\cdot 3^b+1$ with positive integers $a,b$ ?

Can't find anything yet on Google

7:41 PM
maybe on Chris Caldwell's prime page ? I think, you can search for expressions on this site.

@Peter
97 9*2^5642513+1 1698567 L3432 2013 ()**
$a=5642513$ and $b=2$ gives the 97th largest known
76 3*2^6090515-1 1833429 L1353 2010 ()**

Wow, a huge prime ! Thank you.
C 94381 (show) 39^(39^3)+39^1521+1<94381> = 2298392548...99<94381>
Maybe, you can find a prime factor of this number ?

The 35th largest prime has the form $2^{10829346}\cdot3^1+1$
@Peter No time for computational work atm

Much larger ...
An even larger one ? Or is this the current champion ?

This is the best we have

8:00 PM
OK, thank you.
@TheSimpliFire Is the 28th largest prime actually missing ?

8:50 PM
@Peter Very possibly a typo. The table is supposed to show the 100 largest primes, but the final row is row 101 (so misalignment)

9:00 PM