What is the 3055th prime number?
The 3055th prime number is 27997. The next prime is 28001 (a gap of 4) and the one before is 27983.
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 3055th one is 27997.
- 2
27997 is prime because no prime up to ā27997 ā 167.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3055th prime is close to 3055 Ć ln(3055) ā 24515, and here it is 27997.
- 4
27997 has no twin: neither 27995 nor 27999 is prime.
Primes around the 3055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
| 3058 | 28027 | 8 |
Questions
What is the 3055th prime number?
27997.
Which prime number is 27997?
27997 is the 3055th prime number.
What is the sum of the first 3055 primes?
40,170,984.