What is the 1302nd prime number?
The 1302nd prime number is 10667. The next prime is 10687 (a gap of 20) and the one before is 10663.
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 1302nd one is 10667.
- 2
10667 is prime because no prime up to ā10667 ā 103.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1302nd prime is close to 1302 Ć ln(1302) ā 9337, and here it is 10667.
- 4
10667 has no twin: neither 10665 nor 10669 is prime.
Primes around the 1302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1299 | 10651 | 12 |
| 1300 | 10657 | 6 |
| 1301 | 10663 | 6 |
| 1302 | 10667 | 4 |
| 1303 | 10687 | 20 |
| 1304 | 10691 | 4 |
| 1305 | 10709 | 18 |
Questions
What is the 1302nd prime number?
10667.
Which prime number is 10667?
10667 is the 1302nd prime number.
What is the sum of the first 1302 primes?
6,490,827.