What is the 5992nd prime number?
The 5992nd prime number is 59243. The next prime is 59263 (a gap of 20) and the one before is 59239.
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 5992nd one is 59243.
- 2
59243 is prime because no prime up to ā59243 ā 243.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5992nd prime is close to 5992 Ć ln(5992) ā 52119, and here it is 59243.
- 4
59243 has no twin: neither 59241 nor 59245 is prime.
Primes around the 5992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5989 | 59221 | 2 |
| 5990 | 59233 | 12 |
| 5991 | 59239 | 6 |
| 5992 | 59243 | 4 |
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
Questions
What is the 5992nd prime number?
59243.
Which prime number is 59243?
59243 is the 5992nd prime number.
What is the sum of the first 5992 primes?
167,974,163.