What is the 8701st prime number?
The 8701st prime number is 89867. The next prime is 89891 (a gap of 24) and the one before is 89849.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8701st one is 89867.
- 2
89867 is prime because no prime up to ā89867 ā 299.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8701st prime is close to 8701 Ć ln(8701) ā 78928, and here it is 89867.
- 4
89867 has no twin: neither 89865 nor 89869 is prime.
Primes around the 8701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8698 | 89833 | 12 |
| 8699 | 89839 | 6 |
| 8700 | 89849 | 10 |
| 8701 | 89867 | 18 |
| 8702 | 89891 | 24 |
| 8703 | 89897 | 6 |
| 8704 | 89899 | 2 |
Questions
What is the 8701st prime number?
89867.
Which prime number is 89867?
89867 is the 8701st prime number.
What is the sum of the first 8701 primes?
369,848,068.