What is the 920th prime number?
The 920th prime number is 7207. The next prime is 7211 (a gap of 4) and the one before is 7193.
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 920th one is 7207.
- 2
7207 is prime because no prime up to ā7207 ā 84.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 920th prime is close to 920 Ć ln(920) ā 6278, and here it is 7207.
- 4
7207 has no twin: neither 7205 nor 7209 is prime.
Primes around the 920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 917 | 7177 | 18 |
| 918 | 7187 | 10 |
| 919 | 7193 | 6 |
| 920 | 7207 | 14 |
| 921 | 7211 | 4 |
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
Questions
What is the 920th prime number?
7207.
Which prime number is 7207?
7207 is the 920th prime number.
What is the sum of the first 920 primes?
3,077,481.