Problems & Puzzles: Collection 20th

Coll.20th-020. Another puzzle on consecutive primes.

On Jun 17, 2018 Zak Seidov wrote:

Ten consecutive primes:

Mod[60962211883,60962211917,60962211929, 60962211941,60962211953,
60962212009,60962212021,60962212033, 60962212067,60962212123]11=
{1,2,3,4,5,6,7,8,9,10}

Later he added a second example:

Mod[{92728531127, 92728531139, 92728531151, 92728531229, 
92728531307, 92728531319, 92728531331, 92728531409, 
92728531421, 92728531433}]11 ={1,2,3,4,5,6,7,8,9,10}

Q. Find other sets of p-1 consecutive primes that are congruent 1, 2, ... p-1 mod p, for p>11.


 


 


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