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Part of 2013 NZMOC Camp Selection Problems

Problems(1)

primes that can be written both as a sum and as a difference of two primes

Source: New Zealand NZMOC Camp Selection Problems 2013 p2 / All-Russian MO 1994 Regional (Round 4) 10.5

9/19/2021
Find all primes that can be written both as a sum and as a difference of two primes (note that 1 1 is not a prime).
number theoryprimesprimeDifference