What is the 3045th prime number?
The 3045th prime number is 27901. The next prime is 27917 (a gap of 16) and the one before is 27893.
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 3045th one is 27901.
- 2
27901 is prime because no prime up to ā27901 ā 167.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3045th prime is close to 3045 Ć ln(3045) ā 24425, and here it is 27901.
- 4
27901 has no twin: neither 27899 nor 27903 is prime.
Primes around the 3045th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
Questions
What is the 3045th prime number?
27901.
Which prime number is 27901?
27901 is the 3045th prime number.
What is the sum of the first 3045 primes?
39,891,456.