What is the 8538th prime number?
The 8538th prime number is 87943. The next prime is 87959 (a gap of 16) and the one before is 87931.
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 8538th one is 87943.
- 2
87943 is prime because no prime up to ā87943 ā 296.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8538th prime is close to 8538 Ć ln(8538) ā 77288, and here it is 87943.
- 4
87943 has no twin: neither 87941 nor 87945 is prime.
Primes around the 8538th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8535 | 87911 | 24 |
| 8536 | 87917 | 6 |
| 8537 | 87931 | 14 |
| 8538 | 87943 | 12 |
| 8539 | 87959 | 16 |
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
Questions
What is the 8538th prime number?
87943.
Which prime number is 87943?
87943 is the 8538th prime number.
What is the sum of the first 8538 primes?
355,346,213.