What is the 5997th prime number?
The 5997th prime number is 59341. The next prime is 59351 (a gap of 10) and the one before is 59333.
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 5997th one is 59341.
- 2
59341 is prime because no prime up to ā59341 ā 243.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5997th prime is close to 5997 Ć ln(5997) ā 52168, and here it is 59341.
- 4
59341 has no twin: neither 59339 nor 59343 is prime.
Primes around the 5997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
Questions
What is the 5997th prime number?
59341.
Which prime number is 59341?
59341 is the 5997th prime number.
What is the sum of the first 5997 primes?
168,270,654.