Category: Number Theory

Question Number 475 by 123456 last updated on 25/Jan/15 $$prooforgivenacounterexample:$$$$ifpisprimeandn\in \mathbb{N},1<n⩽p$$$$thenpn-1isprime$$ Answered by prakash jain last updated on 11/Jan/15 $${p}=\mathrm{5}…

Question Number 469 by 123456 last updated on 25/Jan/15 $$prooforgivenacounter-example$$$$ifpisprimeanda\in \mathbb{N}then$$$$p\mid {(a+p)}^p-a^p$$ Answered by prakash jain last updated on 10/Jan/15…

Question Number 131497 by talminator2856791 last updated on 05/Feb/21 $$$$$$$$$$\mathrm{please}\mathrm{recommend}\mathrm{problem}\mathrm{and}\mathrm{exercise}\mathrm{book}\mathrm{for}\mathrm{number}\mathrm{theory}$$$$\mathrm{where}\mathrm{answers}\mathrm{and}\mathrm{solutions}\mathrm{are}\mathrm{not}\mathrm{given}\mathrm{or}\mathrm{only}$$$$\mathrm{given}\mathrm{at}\mathrm{the}\mathrm{end}\mathrm{of}\mathrm{the}\mathrm{book}.\mathrm{i}\mathrm{find}\mathrm{it}\mathrm{annoying}\mathrm{when}\mathrm{answers}\mathrm{are}\mathrm{always}\mathrm{right}\mathrm{next}\mathrm{to}\mathrm{the}\mathrm{question}.$$$$\mathrm{a}\mathrm{book}\mathrm{that}\mathrm{has}\mathrm{no}\mathrm{solutions}\mathrm{would}\mathrm{be}\mathrm{even}\mathrm{greater}.$$$$\mathrm{the}\mathrm{only}\mathrm{such}\mathrm{book}\mathrm{i}\mathrm{have}\mathrm{found}\mathrm{is}250\mathrm{problems}\mathrm{in}\mathrm{elementary}\mathrm{number}\mathrm{theory}.$$$$\:\mathrm{thank}. \…