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The candidate number is split into groups of four, starting with the rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form + + + (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form +, such as 707 and 808, then the number is divisible by 101.
This means all digits except the middle digit are equal. 101, 131, 151, 181, 191, ... All prime numbers from 31 to 5,131,135,981 for free download.
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term palindromic is derived from palindrome, which refers to a word (such as rotor or racecar) whose spelling ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A numerical digit (often shortened to just digit) or numeral is a single symbol used alone (such as "1") or in combinations (such as "15"), to represent numbers in a positional numeral system. The name "digit" comes from the fact that the ten digits ( Latin digiti meaning fingers) [1] of the hands correspond to the ten symbols of the common ...
2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, … (sequence A002385 in the OEIS) Except for 11, all palindromic primes have an odd number of digits, because the divisibility test for 11 tells us that every palindromic number with an even number of digits is a multiple of 11. It is not known if there ...
For double-digit octal numbers this method amounts to multiplying the lead digit by 8 and adding the second digit to get the total. ... Therefore, 51 8 = 101 001 2.
A strobogrammatic number is a number whose numeral is rotationally symmetric, ... and before that were 3-digit years, such as 986, 888, 689, 181, 101, etc.