What is the 1096th prime number?
The 1096th prime number is 8803. The next prime is 8807 (a gap of 4) and the one before is 8783.
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 1096th one is 8803.
- 2
8803 is prime because no prime up to ā8803 ā 93.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1096th prime is close to 1096 Ć ln(1096) ā 7671, and here it is 8803.
- 4
8803 has no twin: neither 8801 nor 8805 is prime.
Primes around the 1096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1093 | 8761 | 8 |
| 1094 | 8779 | 18 |
| 1095 | 8783 | 4 |
| 1096 | 8803 | 20 |
| 1097 | 8807 | 4 |
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
Questions
What is the 1096th prime number?
8803.
Which prime number is 8803?
8803 is the 1096th prime number.
What is the sum of the first 1096 primes?
4,487,037.