What is the 901st prime number?
The 901st prime number is 7001. The next prime is 7013 (a gap of 12) and the one before is 6997.
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 901st one is 7001.
- 2
7001 is prime because no prime up to ā7001 ā 83.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 901st prime is close to 901 Ć ln(901) ā 6130, and here it is 7001.
- 4
7001 has no twin: neither 6999 nor 7003 is prime.
Primes around the 901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 898 | 6983 | 6 |
| 899 | 6991 | 8 |
| 900 | 6997 | 6 |
| 901 | 7001 | 4 |
| 902 | 7013 | 12 |
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
Questions
What is the 901st prime number?
7001.
Which prime number is 7001?
7001 is the 901st prime number.
What is the sum of the first 901 primes?
2,942,472.