877 (number)

877 (eight hundred [and] seventy-seven) is the natural number following 878 and preceding 876. It is also known as B₇.Template:Efn

In mathematics

877 is the 151st prime number, and a prime-indexed prime. It is also a Bell number, since it satisfies the recurrence relation

$Bn+1={\sum }_{k=0}^n(\frac{n}{k})Bk,n\ge 1$

Since 877 is a prime, it is also known as a Bell prime, which is the 3rd one. Out of the first 14 Bell numbers, only four are prime, which includes 877 (2, 5, 877, 27644437). The next two are

• $B42$ = 35742549198872617291353508656626642567
• $B55$ = 359334085968622831041960188598043661065388726959079837.