What is the 908th prime number?
The 908th prime number is 7069. The next prime is 7079 (a gap of 10) and the one before is 7057.
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 908th one is 7069.
- 2
7069 is prime because no prime up to ā7069 ā 84.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 908th prime is close to 908 Ć ln(908) ā 6185, and here it is 7069.
- 4
7069 has no twin: neither 7067 nor 7071 is prime.
Primes around the 908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
| 907 | 7057 | 14 |
| 908 | 7069 | 12 |
| 909 | 7079 | 10 |
| 910 | 7103 | 24 |
| 911 | 7109 | 6 |
Questions
What is the 908th prime number?
7069.
Which prime number is 7069?
7069 is the 908th prime number.
What is the sum of the first 908 primes?
2,991,739.