What is the 2703rd prime number?
The 2703rd prime number is 24337. The next prime is 24359 (a gap of 22) and the one before is 24329.
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 2703rd one is 24337.
- 2
24337 is prime because no prime up to ā24337 ā 156.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2703rd prime is close to 2703 Ć ln(2703) ā 21359, and here it is 24337.
- 4
24337 has no twin: neither 24335 nor 24339 is prime.
Primes around the 2703rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2700 | 24281 | 30 |
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
Questions
What is the 2703rd prime number?
24337.
Which prime number is 24337?
24337 is the 2703rd prime number.
What is the sum of the first 2703 primes?
30,949,756.