What is the 93rd prime number?
The 93rd prime number is 487. The next prime is 491 (a gap of 4) and the one before is 479.
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 93rd one is 487.
- 2
487 is prime because no prime up to ā487 ā 22.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 93rd prime is close to 93 Ć ln(93) ā 422, and here it is 487.
- 4
487 has no twin: neither 485 nor 489 is prime.
Primes around the 93rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 90 | 463 | 2 |
| 91 | 467 | 4 |
| 92 | 479 | 12 |
| 93 | 487 | 8 |
| 94 | 491 | 4 |
| 95 | 499 | 8 |
| 96 | 503 | 4 |
Questions
What is the 93rd prime number?
487.
Which prime number is 487?
487 is the 93rd prime number.
What is the sum of the first 93 primes?
20,546.