What is the 921st prime number?
The 921st prime number is 7211. The next prime is 7213 (a gap of 2) and the one before is 7207.
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 921st one is 7211.
- 2
7211 is prime because no prime up to ā7211 ā 84.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 921st prime is close to 921 Ć ln(921) ā 6286, and here it is 7211.
- 4
7211 is a twin prime: 7211 and 7213 are both prime.
Primes around the 921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 918 | 7187 | 10 |
| 919 | 7193 | 6 |
| 920 | 7207 | 14 |
| 921 | 7211 | 4 |
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
Questions
What is the 921st prime number?
7211.
Which prime number is 7211?
7211 is the 921st prime number.
What is the sum of the first 921 primes?
3,084,692.