What two numbers, if multiplied, would generate a 400-digit number?

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I think that the numbers

(10e200 + 1) and (10e200 + 3)

Would yield a 400 digit number when multiplied together

I think that the numbers

(10e200 + 1) and (10e200 + 3)

would yield a 400 digit number when multiplied together

both the integers (when you add 1 to 10e200 and when you add 3 to 10e200) are prime