Consider an odd prime p and a positive integer N<50p. Let a1,a2,…,aN be a list of positive integers less than p such that any specific value occurs at most 10051N times and a1+a2+⋯⋅+aN is not divisible by p. Prove that there exists a permutation b1,b2,…,bN of the ai such that, for all k=1,2,…,N, the sum b1+b2+⋯+bk is not divisible by p.Will Steinberg, United Kingdom algorithmnumber theoryprime numbersPartial sumspermutationsRMM