What is the 1303rd prime number?
The 1303rd prime number is 10687. The next prime is 10691 (a gap of 4) and the one before is 10667.
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 1303rd one is 10687.
- 2
10687 is prime because no prime up to ā10687 ā 103.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1303rd prime is close to 1303 Ć ln(1303) ā 9346, and here it is 10687.
- 4
10687 has no twin: neither 10685 nor 10689 is prime.
Primes around the 1303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1300 | 10657 | 6 |
| 1301 | 10663 | 6 |
| 1302 | 10667 | 4 |
| 1303 | 10687 | 20 |
| 1304 | 10691 | 4 |
| 1305 | 10709 | 18 |
| 1306 | 10711 | 2 |
Questions
What is the 1303rd prime number?
10687.
Which prime number is 10687?
10687 is the 1303rd prime number.
What is the sum of the first 1303 primes?
6,501,514.