What is the 3078th prime number?
The 3078th prime number is 28277. The next prime is 28279 (a gap of 2) and the one before is 28229.
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 3078th one is 28277.
- 2
28277 is prime because no prime up to ā28277 ā 168.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3078th prime is close to 3078 Ć ln(3078) ā 24723, and here it is 28277.
- 4
28277 is a twin prime: 28277 and 28279 are both prime.
Primes around the 3078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3075 | 28211 | 10 |
| 3076 | 28219 | 8 |
| 3077 | 28229 | 10 |
| 3078 | 28277 | 48 |
| 3079 | 28279 | 2 |
| 3080 | 28283 | 4 |
| 3081 | 28289 | 6 |
Questions
What is the 3078th prime number?
28277.
Which prime number is 28277?
28277 is the 3078th prime number.
What is the sum of the first 3078 primes?
40,817,761.