What is the 1066th prime number?
The 1066th prime number is 8543. The next prime is 8563 (a gap of 20) and the one before is 8539.
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 1066th one is 8543.
- 2
8543 is prime because no prime up to ā8543 ā 92.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1066th prime is close to 1066 Ć ln(1066) ā 7432, and here it is 8543.
- 4
8543 has no twin: neither 8541 nor 8545 is prime.
Primes around the 1066th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1063 | 8527 | 6 |
| 1064 | 8537 | 10 |
| 1065 | 8539 | 2 |
| 1066 | 8543 | 4 |
| 1067 | 8563 | 20 |
| 1068 | 8573 | 10 |
| 1069 | 8581 | 8 |
Questions
What is the 1066th prime number?
8543.
Which prime number is 8543?
8543 is the 1066th prime number.
What is the sum of the first 1066 primes?
4,226,603.