What is the 902nd prime number?
The 902nd prime number is 7013. The next prime is 7019 (a gap of 6) and the one before is 7001.
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 902nd one is 7013.
- 2
7013 is prime because no prime up to ā7013 ā 83.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 902nd prime is close to 902 Ć ln(902) ā 6138, and here it is 7013.
- 4
7013 has no twin: neither 7011 nor 7015 is prime.
Primes around the 902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 899 | 6991 | 8 |
| 900 | 6997 | 6 |
| 901 | 7001 | 4 |
| 902 | 7013 | 12 |
| 903 | 7019 | 6 |
| 904 | 7027 | 8 |
| 905 | 7039 | 12 |
Questions
What is the 902nd prime number?
7013.
Which prime number is 7013?
7013 is the 902nd prime number.
What is the sum of the first 902 primes?
2,949,485.