[math-fun] strange factoring in primes

hihi, all - rich asked about consecutive primes p, q, r with p*q*r = n^3 + 1 for some integer n - i thought i'd take a crack at it without requiring consecutive, and found prety easily 211 * 227 * 241 = 226 ^ 3 + 1 = 11543177, which leadsd me to think that rich's expectation (that only 7*11*13 = 1001 works) is correct BTW, it is easy to show that the middle prime is n+1 more soon, cal