What is the 7301st prime number?
The 7301st prime number is 73999. The next prime is 74017 (a gap of 18) and the one before is 73973.
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 7301st one is 73999.
- 2
73999 is prime because no prime up to ā73999 ā 272.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7301st prime is close to 7301 Ć ln(7301) ā 64948, and here it is 73999.
- 4
73999 has no twin: neither 73997 nor 74001 is prime.
Primes around the 7301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7298 | 73951 | 8 |
| 7299 | 73961 | 10 |
| 7300 | 73973 | 12 |
| 7301 | 73999 | 26 |
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
Questions
What is the 7301st prime number?
73999.
Which prime number is 73999?
73999 is the 7301st prime number.
What is the sum of the first 7301 primes?
255,220,950.