What is the 1010th prime number?
The 1010th prime number is 8017. The next prime is 8039 (a gap of 22) and the one before is 8011.
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 1010th one is 8017.
- 2
8017 is prime because no prime up to ā8017 ā 89.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1010th prime is close to 1010 Ć ln(1010) ā 6987, and here it is 8017.
- 4
8017 has no twin: neither 8015 nor 8019 is prime.
Primes around the 1010th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1007 | 7993 | 30 |
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
Questions
What is the 1010th prime number?
8017.
Which prime number is 8017?
8017 is the 1010th prime number.
What is the sum of the first 1010 primes?
3,762,603.