What is the 906th prime number?
The 906th prime number is 7043. The next prime is 7057 (a gap of 14) and the one before is 7039.
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 906th one is 7043.
- 2
7043 is prime because no prime up to ā7043 ā 83.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 906th prime is close to 906 Ć ln(906) ā 6169, and here it is 7043.
- 4
7043 has no twin: neither 7041 nor 7045 is prime.
Primes around the 906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
| 906 | 7043 | 4 |
| 907 | 7057 | 14 |
| 908 | 7069 | 12 |
| 909 | 7079 | 10 |
Questions
What is the 906th prime number?
7043.
Which prime number is 7043?
7043 is the 906th prime number.
What is the sum of the first 906 primes?
2,977,613.