Some new solutions of the congruence 2~(n-2)≡1(mod n)

In 1991,all solutions of the congruence 2n-2≡1(mod n) up to 1011have been presented by Sinisalo M.K,and all 88 solutions in the interval [3,1011] have been tabulated and,only 6 final decimal digit 9 have been obtained.It is proved that there does not exist any solution n3.462*1014 for congruence 2n-2≡1(mod n) having square divisors.By using a new method,it has been found that there exist 9 solutions for congruence 2n-2≡1(mod n) having square divisors.By using the same method,the new solutions n of the congruence 2n-2≡1(mod n),where n1011 have been tabulated.