What is the 7300th prime number?
The 7300th prime number is 73973. The next prime is 73999 (a gap of 26) and the one before is 73961.
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 7300th one is 73973.
- 2
73973 is prime because no prime up to ā73973 ā 271.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7300th prime is close to 7300 Ć ln(7300) ā 64938, and here it is 73973.
- 4
73973 has no twin: neither 73971 nor 73975 is prime.
Primes around the 7300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7297 | 73943 | 4 |
| 7298 | 73951 | 8 |
| 7299 | 73961 | 10 |
| 7300 | 73973 | 12 |
| 7301 | 73999 | 26 |
| 7302 | 74017 | 18 |
| 7303 | 74021 | 4 |
Questions
What is the 7300th prime number?
73973.
Which prime number is 73973?
73973 is the 7300th prime number.
What is the sum of the first 7300 primes?
255,146,951.