What is the 7302nd prime number?
The 7302nd prime number is 74017. The next prime is 74021 (a gap of 4) and the one before is 73999.
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 7302nd one is 74017.
- 2
74017 is prime because no prime up to ā74017 ā 272.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7302nd prime is close to 7302 Ć ln(7302) ā 64958, and here it is 74017.
- 4
74017 has no twin: neither 74015 nor 74019 is prime.
Primes around the 7302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7299 | 73961 | 10 |
| 7300 | 73973 | 12 |
| 7301 | 73999 | 26 |
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
| 7305 | 74047 | 20 |
Questions
What is the 7302nd prime number?
74017.
Which prime number is 74017?
74017 is the 7302nd prime number.
What is the sum of the first 7302 primes?
255,294,967.