What is the 1301st prime number?
The 1301st prime number is 10663. The next prime is 10667 (a gap of 4) and the one before is 10657.
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 1301st one is 10663.
- 2
10663 is prime because no prime up to ā10663 ā 103.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1301st prime is close to 1301 Ć ln(1301) ā 9329, and here it is 10663.
- 4
10663 has no twin: neither 10661 nor 10665 is prime.
Primes around the 1301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1298 | 10639 | 8 |
| 1299 | 10651 | 12 |
| 1300 | 10657 | 6 |
| 1301 | 10663 | 6 |
| 1302 | 10667 | 4 |
| 1303 | 10687 | 20 |
| 1304 | 10691 | 4 |
Questions
What is the 1301st prime number?
10663.
Which prime number is 10663?
10663 is the 1301st prime number.
What is the sum of the first 1301 primes?
6,480,160.