What is the 3046th prime number?
The 3046th prime number is 27917. The next prime is 27919 (a gap of 2) and the one before is 27901.
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 3046th one is 27917.
- 2
27917 is prime because no prime up to ā27917 ā 167.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3046th prime is close to 3046 Ć ln(3046) ā 24434, and here it is 27917.
- 4
27917 is a twin prime: 27917 and 27919 are both prime.
Primes around the 3046th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
Questions
What is the 3046th prime number?
27917.
Which prime number is 27917?
27917 is the 3046th prime number.
What is the sum of the first 3046 primes?
39,919,373.