What is the 5995th prime number?
The 5995th prime number is 59281. The next prime is 59333 (a gap of 52) and the one before is 59273.
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 5995th one is 59281.
- 2
59281 is prime because no prime up to ā59281 ā 243.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5995th prime is close to 5995 Ć ln(5995) ā 52149, and here it is 59281.
- 4
59281 has no twin: neither 59279 nor 59283 is prime.
Primes around the 5995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
Questions
What is the 5995th prime number?
59281.
Which prime number is 59281?
59281 is the 5995th prime number.
What is the sum of the first 5995 primes?
168,151,980.