What is the 7303rd prime number?
The 7303rd prime number is 74021. The next prime is 74027 (a gap of 6) and the one before is 74017.
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 7303rd one is 74021.
- 2
74021 is prime because no prime up to ā74021 ā 272.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7303rd prime is close to 7303 Ć ln(7303) ā 64968, and here it is 74021.
- 4
74021 has no twin: neither 74019 nor 74023 is prime.
Primes around the 7303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7300 | 73973 | 12 |
| 7301 | 73999 | 26 |
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
| 7305 | 74047 | 20 |
| 7306 | 74051 | 4 |
Questions
What is the 7303rd prime number?
74021.
Which prime number is 74021?
74021 is the 7303rd prime number.
What is the sum of the first 7303 primes?
255,368,988.