What is the 8951st prime number?
The 8951st prime number is 92671. The next prime is 92681 (a gap of 10) and the one before is 92669.
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 8951st one is 92671.
- 2
92671 is prime because no prime up to ā92671 ā 304.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8951st prime is close to 8951 Ć ln(8951) ā 81450, and here it is 92671.
- 4
92671 is a twin prime: 92669 and 92671 are both prime.
Primes around the 8951st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8948 | 92647 | 6 |
| 8949 | 92657 | 10 |
| 8950 | 92669 | 12 |
| 8951 | 92671 | 2 |
| 8952 | 92681 | 10 |
| 8953 | 92683 | 2 |
| 8954 | 92693 | 10 |
Questions
What is the 8951st prime number?
92671.
Which prime number is 92671?
92671 is the 8951st prime number.
What is the sum of the first 8951 primes?
392,666,430.