What is the 2403rd prime number?
The 2403rd prime number is 21401. The next prime is 21407 (a gap of 6) and the one before is 21397.
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 2403rd one is 21401.
- 2
21401 is prime because no prime up to ā21401 ā 146.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2403rd prime is close to 2403 Ć ln(2403) ā 18706, and here it is 21401.
- 4
21401 has no twin: neither 21399 nor 21403 is prime.
Primes around the 2403rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
| 2403 | 21401 | 4 |
| 2404 | 21407 | 6 |
| 2405 | 21419 | 12 |
| 2406 | 21433 | 14 |
Questions
What is the 2403rd prime number?
21401.
Which prime number is 21401?
21401 is the 2403rd prime number.
What is the sum of the first 2403 primes?
24,090,204.