What is the 5993rd prime number?
The 5993rd prime number is 59263. The next prime is 59273 (a gap of 10) and the one before is 59243.
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 5993rd one is 59263.
- 2
59263 is prime because no prime up to ā59263 ā 243.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5993rd prime is close to 5993 Ć ln(5993) ā 52129, and here it is 59263.
- 4
59263 has no twin: neither 59261 nor 59265 is prime.
Primes around the 5993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5990 | 59233 | 12 |
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
Questions
What is the 5993rd prime number?
59263.
Which prime number is 59263?
59263 is the 5993rd prime number.
What is the sum of the first 5993 primes?
168,033,426.