Tags » Arithmetic Progression

Sets of Palindromic primes in arithmetic progression

Palindromic primes: prime numbers whose decimal expansion is a palindrome:
A002385

2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721, 12821, 13331, 13831, 13931, 14341, 14741, 15451, 15551, 16061, 16361, 16561, 16661, 17471, 17971, 18181, … 34 more words

Number Puzzles

Sum of an n number of cubes in arithmetic progression

Sum of n number of cubes in arithmetic progression with common difference d

d = 1


d = 2







d = 3








d = 4… 33 more words

Math Beauty

Arithmetic progression and Squares

The arithmetic progression 1 + 3 + 5 + 7 + … + (2 k + 1) of odd positive integers has the property that all of its partial sums… 281 more words

Number Puzzles

Arithmetic progression| Magic Star

To place numbers from 1 to 12 on the following star.

so that α, β, γ, δ, ε, and ζ are in arithmetic progression (AP). … 19 more words

Math Beauty

Arithmetic progression (229, 361, 493, 625)



The numbers 229, 361, 493, 625 are in arithmetic progression (AP)

361 – 229 = 493 – 361 = 625 – 493 = 132

and the number of divisors of each is also in arithmetic progression: 71 more words

Number Puzzles

Terms in AP separated into two equal sets



Let’s take, for example, 8 numbers in arithmetic progression (AP) whose difference between the consecutive terms is d = 2

, , , , , , , … 117 more words

Number Puzzles