# 1061

This number is a prime. The smallest bemirp. The sequence begins 1061, 1091, 1601, 1901, 10061, ... . If we are to append to prime 1061 another smallest prime so that the concatenation would yield a square then this second prime would be 10601. Note that 10601 is 1061 with just an extra zero inserted. Also the square root of 106110601 is 10301. Both 10301 and 10601 are palindromic primes! [De Geest] A four-digit prime that equals the number of primes with four digits. [Russo] The Normans conquered Messina in 1061. The first 1061 digits in the decimal expansion of the square root of 10 is prime. [Beedassy] The number of primes between 1000 and 10000 is a bemirp. [Green] The first occurrence of two consecutive emirps (1061, 1069) that remain emirps after having their digits replaced respectively by the corresponding cube and square: (102161, 103681). [Beedassy] The factors of the Mersenne semiprime M1061 each have period length 1061. [Ewing] Can you find the smallest bemirp that has sum of digits equal to 1061? A high school student at Highlands Juvenile Detention Center in Bristol, Virginia, memorized the first 1061 digits of π for the 2020 Pi Day celebration.

```               A "Bemirpyramid" of length 6:

1061
108810610081
11811088106100819881
111861181108810610081988181691
100991111861181108810610081988181691616681
100196100991111861181108810610081988181691616681996061
```
```       Found by Metin Sariyar of Istanbul, Turkey.
``` A monk spotted Halley's Comet in 1061 and predicted the destruction of England. [Couper]

(There is one curio for this number that has not yet been approved by an editor.)