What is the 4840th prime number?
The 4840th prime number is 46831. The next prime is 46853 (a gap of 22) and the one before is 46829.
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 4840th one is 46831.
- 2
46831 is prime because no prime up to ā46831 ā 216.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4840th prime is close to 4840 Ć ln(4840) ā 41066, and here it is 46831.
- 4
46831 is a twin prime: 46829 and 46831 are both prime.
Primes around the 4840th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
| 4843 | 46867 | 6 |
Questions
What is the 4840th prime number?
46831.
Which prime number is 46831?
46831 is the 4840th prime number.
What is the sum of the first 4840 primes?
106,815,671.