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next_prime-prev_prime-random

syt1: 2 + random(3);

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next_prime

Run Example
(%i1)next_prime((2^128)+1000);
(%o1)               340282366920938463463374607431768212629
(%i2) 
Run Example
q1:next_prime(5435243242);
(%o1)                             5435243263
(%i2) q2:next_prime(563985934534);
(%o2)                            563985934559
(%i3) 
Run Example
p= next_prime(2^128);
(%o1)             p = 340282366920938463463374607431768211507
(%i2) q= next_prime(2^128+2^42);
(%o2)             q = 340282366920938463463374611829814722763
(%i3) n= p*q;
(%o3)                               n = p q
(%i4) 
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