If there is not such a number then i can create an algorithm for fast prime factorization that works with numbers up to $$$10^9$$$
If there is not such a number then i can create an algorithm for fast prime factorization that works with numbers up to $$$10^9$$$
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$$$102023029$$$ meets all the limits.
101^4?
What about 1000? Instead of 100 put 1000
9973^2 should work