What is the 73rd prime number?
The 73rd prime number is 367. The next prime is 373 (a gap of 6) and the one before is 359.
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 73rd one is 367.
- 2
367 is prime because no prime up to ā367 ā 19.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 73rd prime is close to 73 Ć ln(73) ā 313, and here it is 367.
- 4
367 has no twin: neither 365 nor 369 is prime.
Primes around the 73rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 70 | 349 | 2 |
| 71 | 353 | 4 |
| 72 | 359 | 6 |
| 73 | 367 | 8 |
| 74 | 373 | 6 |
| 75 | 379 | 6 |
| 76 | 383 | 4 |
Questions
What is the 73rd prime number?
367.
Which prime number is 367?
367 is the 73rd prime number.
What is the sum of the first 73 primes?
11,966.