What is the 3037th prime number?
The 3037th prime number is 27809. The next prime is 27817 (a gap of 8) and the one before is 27803.
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 3037th one is 27809.
- 2
27809 is prime because no prime up to ā27809 ā 166.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3037th prime is close to 3037 Ć ln(3037) ā 24353, and here it is 27809.
- 4
27809 has no twin: neither 27807 nor 27811 is prime.
Primes around the 3037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3034 | 27793 | 2 |
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
Questions
What is the 3037th prime number?
27809.
Which prime number is 27809?
27809 is the 3037th prime number.
What is the sum of the first 3037 primes?
39,668,614.