What is the 5994th prime number?
The 5994th prime number is 59273. The next prime is 59281 (a gap of 8) and the one before is 59263.
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 5994th one is 59273.
- 2
59273 is prime because no prime up to ā59273 ā 243.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5994th prime is close to 5994 Ć ln(5994) ā 52139, and here it is 59273.
- 4
59273 has no twin: neither 59271 nor 59275 is prime.
Primes around the 5994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
Questions
What is the 5994th prime number?
59273.
Which prime number is 59273?
59273 is the 5994th prime number.
What is the sum of the first 5994 primes?
168,092,699.