List questions from prime-numbers

Published on 12 Apr 2026 - 18:58

70

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Diophantine equation Ion Cucurezeanu

Published on 12 Apr 2026 - 15:03

380

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How to show that the equivalence classes of $R$ correspond to the elements of $\mathbb{Z}_{pq}$?

Published on 10 Apr 2026 - 6:28

119

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Solve the equation $x! + y!+z!= 2^{v!}$

Published on 31 Mar 2026 - 18:20

107

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Elementary Number Theory and Congruences

Published on 06 Apr 2026 - 19:30

618

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How many integers are there that are not divisible by any prime larger than 20 and not divisible by the square of any prime?

Published on 28 Mar 2026 - 5:23

79

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Show that a number with 160 digits has a prime power divisor that is at least 100. This is not true if we want a prime divisor that is at least 100.

Published on 07 Oct 2019 - 1:07

96

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Yet a conjecture about the prime counting function.

Published on 26 Mar 2026 - 16:10

225

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Pattern of Primes in collatz sequence

Published on 13 Apr 2026 - 2:06

198

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How many natural number between $100$ and $1000$ exist which can be expressed as sum of 10 different primes.

Published on 13 Apr 2026 - 0:59

215

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Finding Perfect numbers which are sum of consecutive prime number.

Published on 11 Apr 2026 - 0:28

514

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Every prime occurs as the least quadratic nonresidue

Published on 12 Apr 2026 - 19:14

198

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Prime numbers and prime factorization

Published on 28 Mar 2026 - 5:20

219

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Longest consecutive runs of sums of $k$-subsets of first $n$ primes

Published on 09 Apr 2026 - 7:32

427

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Primality test for numbers of the form $N=2 \cdot 6^n-1$

Published on 26 Mar 2026 - 11:04

List Question

Pythagorean triplets which satisfy Euler's totient function

Diophantine equation Ion Cucurezeanu

How to show that the equivalence classes of $R$ correspond to the elements of $\mathbb{Z}_{pq}$?

Solve the equation $x! + y!+z!= 2^{v!}$

Elementary Number Theory and Congruences

How many integers are there that are not divisible by any prime larger than 20 and not divisible by the square of any prime?

Show that a number with 160 digits has a prime power divisor that is at least 100. This is not true if we want a prime divisor that is at least 100.

Yet a conjecture about the prime counting function.

Pattern of Primes in collatz sequence

How many natural number between $100$ and $1000$ exist which can be expressed as sum of 10 different primes.

Finding Perfect numbers which are sum of consecutive prime number.

Every prime occurs as the least quadratic nonresidue

Prime numbers and prime factorization

Longest consecutive runs of sums of $k$-subsets of first $n$ primes

Primality test for numbers of the form $N=2 \cdot 6^n-1$

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