What is the 6055th prime number?
The 6055th prime number is 59971. The next prime is 59981 (a gap of 10) and the one before is 59957.
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 6055th one is 59971.
- 2
59971 is prime because no prime up to ā59971 ā 244.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6055th prime is close to 6055 Ć ln(6055) ā 52731, and here it is 59971.
- 4
59971 has no twin: neither 59969 nor 59973 is prime.
Primes around the 6055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6052 | 59929 | 8 |
| 6053 | 59951 | 22 |
| 6054 | 59957 | 6 |
| 6055 | 59971 | 14 |
| 6056 | 59981 | 10 |
| 6057 | 59999 | 18 |
| 6058 | 60013 | 14 |
Questions
What is the 6055th prime number?
59971.
Which prime number is 59971?
59971 is the 6055th prime number.
What is the sum of the first 6055 primes?
171,728,758.