What is the 2603rd prime number?
The 2603rd prime number is 23339. The next prime is 23357 (a gap of 18) and the one before is 23333.
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 2603rd one is 23339.
- 2
23339 is prime because no prime up to ā23339 ā 152.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2603rd prime is close to 2603 Ć ln(2603) ā 20471, and here it is 23339.
- 4
23339 has no twin: neither 23337 nor 23341 is prime.
Primes around the 2603rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
Questions
What is the 2603rd prime number?
23339.
Which prime number is 23339?
23339 is the 2603rd prime number.
What is the sum of the first 2603 primes?
28,564,644.