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Python 2, 161 bytes, by Puzzled

340282366920938463463374607431768211456

and

340282366920938468780317283222139437056

Generated by this CJam code:

2 128#N
[2{{)_mp!}g_}7*;]_W<+:* 2 32#* 2$+

That is, 2^128 and 2^128 + (3*5*7*11*13*17)^2*19*2^32.