What is the 907th prime number?
The 907th prime number is 7057. The next prime is 7069 (a gap of 12) and the one before is 7043.
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 907th one is 7057.
- 2
7057 is prime because no prime up to ā7057 ā 84.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 907th prime is close to 907 Ć ln(907) ā 6177, and here it is 7057.
- 4
7057 has no twin: neither 7055 nor 7059 is prime.
Primes around the 907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
| 907 | 7057 | 14 |
| 908 | 7069 | 12 |
| 909 | 7079 | 10 |
| 910 | 7103 | 24 |
Questions
What is the 907th prime number?
7057.
Which prime number is 7057?
7057 is the 907th prime number.
What is the sum of the first 907 primes?
2,984,670.