What is the 2037th prime number?
The 2037th prime number is 17747. The next prime is 17749 (a gap of 2) and the one before is 17737.
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 2037th one is 17747.
- 2
17747 is prime because no prime up to ā17747 ā 133.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2037th prime is close to 2037 Ć ln(2037) ā 15520, and here it is 17747.
- 4
17747 is a twin prime: 17747 and 17749 are both prime.
Primes around the 2037th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
| 2036 | 17737 | 8 |
| 2037 | 17747 | 10 |
| 2038 | 17749 | 2 |
| 2039 | 17761 | 12 |
| 2040 | 17783 | 22 |
Questions
What is the 2037th prime number?
17747.
Which prime number is 17747?
17747 is the 2037th prime number.
What is the sum of the first 2037 primes?
16,924,412.