What is the 6058th prime number?
The 6058th prime number is 60013. The next prime is 60017 (a gap of 4) and the one before is 59999.
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 6058th one is 60013.
- 2
60013 is prime because no prime up to ā60013 ā 244.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6058th prime is close to 6058 Ć ln(6058) ā 52760, and here it is 60013.
- 4
60013 has no twin: neither 60011 nor 60015 is prime.
Primes around the 6058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
| 6057 | 59999 | 18 |
| 6058 | 60013 | 14 |
| 6059 | 60017 | 4 |
| 6060 | 60029 | 12 |
| 6061 | 60037 | 8 |
Questions
What is the 6058th prime number?
60013.
Which prime number is 60013?
60013 is the 6058th prime number.
What is the sum of the first 6058 primes?
171,908,751.