What is the 6056th prime number?
The 6056th prime number is 59981. The next prime is 59999 (a gap of 18) and the one before is 59971.
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 6056th one is 59981.
- 2
59981 is prime because no prime up to ā59981 ā 244.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6056th prime is close to 6056 Ć ln(6056) ā 52741, and here it is 59981.
- 4
59981 has no twin: neither 59979 nor 59983 is prime.
Primes around the 6056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6053 | 59951 | 22 |
| 6054 | 59957 | 6 |
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
| 6057 | 59999 | 18 |
| 6058 | 60013 | 14 |
| 6059 | 60017 | 4 |
Questions
What is the 6056th prime number?
59981.
Which prime number is 59981?
59981 is the 6056th prime number.
What is the sum of the first 6056 primes?
171,788,739.