What is the 8541st prime number?
The 8541st prime number is 87973. The next prime is 87977 (a gap of 4) and the one before is 87961.
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 8541st one is 87973.
- 2
87973 is prime because no prime up to ā87973 ā 296.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8541st prime is close to 8541 Ć ln(8541) ā 77319, and here it is 87973.
- 4
87973 has no twin: neither 87971 nor 87975 is prime.
Primes around the 8541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8538 | 87943 | 12 |
| 8539 | 87959 | 16 |
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
| 8542 | 87977 | 4 |
| 8543 | 87991 | 14 |
| 8544 | 88001 | 10 |
Questions
What is the 8541st prime number?
87973.
Which prime number is 87973?
87973 is the 8541st prime number.
What is the sum of the first 8541 primes?
355,610,106.