What is the 3054th prime number?
The 3054th prime number is 27983. The next prime is 27997 (a gap of 14) and the one before is 27967.
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 3054th one is 27983.
- 2
27983 is prime because no prime up to ā27983 ā 167.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3054th prime is close to 3054 Ć ln(3054) ā 24506, and here it is 27983.
- 4
27983 has no twin: neither 27981 nor 27985 is prime.
Primes around the 3054th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
| 3057 | 28019 | 18 |
Questions
What is the 3054th prime number?
27983.
Which prime number is 27983?
27983 is the 3054th prime number.
What is the sum of the first 3054 primes?
40,142,987.