Peter

I am specially interested in number theory, in particular very large numbers.

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Is there any mathematical reason for this "digit-repetition-show"?

number-theory radicals decimal-expansion asked Feb 8, 2017 at 13:02

math.stackexchange.com

112 votes

Least prime of the form $38^n+31$

number-theory prime-numbers asked Dec 7, 2013 at 19:42

math.stackexchange.com

60 votes

Are there $n$ groups of order $n$ for some $n>1$?

gr.group-theory finite-groups asked Nov 26, 2015 at 23:33

mathoverflow.net

58 votes

Can I search for factors of $\ (11!)!+11!+1\ $ efficiently?

number-theory elementary-number-theory prime-numbers factorial prime-factorization asked Dec 18, 2019 at 18:23

math.stackexchange.com

45 votes

Can a number be equal to the sum of the squares of its prime divisors?

number-theory prime-numbers prime-factorization square-numbers sums-of-squares asked Jun 2, 2015 at 16:04

math.stackexchange.com

26 votes

Number of moves necessary to solve Rubik's cube by pure chance

probability expectation rubiks-cube asked May 10, 2015 at 21:08

math.stackexchange.com

25 votes

Biggest powers NOT containing all digits.

number-theory exponentiation decimal-expansion asked Jan 4, 2014 at 21:47

math.stackexchange.com

25 votes

Are there $n$ groups of order $n$ for some $n>1$?

group-theory number-theory finite-groups groups-enumeration asked Nov 26, 2015 at 23:03

math.stackexchange.com

25 votes

How large can the smallest generating set of a group $G$ of order $n$ be?

gr.group-theory asked Dec 3, 2015 at 13:22

mathoverflow.net

24 votes

Prime factor of $2 \uparrow \uparrow 4 + 3\uparrow \uparrow 4$

number-theory recreational-mathematics tetration asked Jan 3, 2014 at 5:45

math.stackexchange.com

Top Answers

Why does the Newton-Raphson method not converge for some functions?

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Difference between a sub graph and induced sub graph.

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Is there any proof that the sum of factorial numbers is divisible by 3?

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Why do I get one extra wrong solution when solving $2-x=-\sqrt{x}$?

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Making 400k random choices from 400k samples seems to always end up with 63% distinct choices, why?

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Why do we divide Permutations to get to Combinations?

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If nine coins are tossed, what is the probability that the number of heads is even?

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What are some conjectures of your own?

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Does this pattern continue $\lfloor\sqrt{44}\rfloor=6, \lfloor\sqrt{4444}\rfloor=66,\dots$?

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BIG LIST: Statements that look obviously false but cannot be disproved

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Does eigenvectors of a matrix change during matrix operations?

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How do you simplify a log with an exponent in the base?

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prove there is no rational r satisfying $2^r=3$

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Does there exist an $n$ such that all groups of order $n$ are Abelian?

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Functions that are always less than their derivatives

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Is $29$ the only prime of the form $p^p+2$?

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Equation with powers problem

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Draw cards repeatedly, until we find the ace of spades. Probability that we draw between 20 and 30 cards?

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Is $n^\frac{1}{n}$ ever rational?

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Why does $a^{b}·a^{c}=a^{b+c}$?

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How many 5-digit numbers can be formed such that they read the same way from either of the side (that is the number should be palindrome)?

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Proving that $(1+10^n)$cannot be a prime number when $(n>2)$

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Quadratic Diophantine Equation $x^2 + 2y^2 = 2013$

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$\mathbb{C}$ is isomorphic to $\bar{\mathbb{Q}}$?

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Has there ever been a grandmaster-level win where a queen did not move nor get taken throughout the game?

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Whether $2^{38}$ or $3^{33}$ is greater without needing a calculator

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Is the "cyclotomic diagonalization" always squarefree?

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Find all three digit numbers which are divisible by groups of its digits

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How can I guarantee the unique positive root of this polynomial?

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Interesting property of sum of powers of integers from 1 to 114.

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