What is the 263rd prime number?
The 263rd prime number is 1669. The next prime is 1693 (a gap of 24) and the one before is 1667.
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 263rd one is 1669.
- 2
1669 is prime because no prime up to ā1669 ā 40.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 263rd prime is close to 263 Ć ln(263) ā 1465, and here it is 1669.
- 4
1669 is a twin prime: 1667 and 1669 are both prime.
Primes around the 263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 260 | 1657 | 20 |
| 261 | 1663 | 6 |
| 262 | 1667 | 4 |
| 263 | 1669 | 2 |
| 264 | 1693 | 24 |
| 265 | 1697 | 4 |
| 266 | 1699 | 2 |
Questions
What is the 263rd prime number?
1669.
Which prime number is 1669?
1669 is the 263rd prime number.
What is the sum of the first 263 primes?
203,296.