Divisibility extension

Why wait to extend divisibility until we need it? It's easier to upgrade >50% now.

Note: 1 Satoshi is defined to be the present base unit, or 0.00000001 BTC

Proposed solutions

62/64-bit

In these solutions, a 64-bit type is assumed, one of which is reserved for signedness (+/-), and another for an "upgraded" flag to retain compatibility with the existing block chain.

"B"

Each Satoshi is upgraded to 2079 (3 × 3 × 3 × 7 × 11) base units.

• Adds 3 more decimal places
• Can be divided into exact ⅓, ⅙, ⅐, ⅑, 1⁄11 (in addition to the present ½ and ⅕) and multiples thereof

"D"

Each Satoshi is upgraded to 1296 (3 × 3 × 3 × 3 × 2 × 2 × 2 × 2) base units.

• Adds 3 more decimal places
• Can be divided into exact ⅓, ⅑, (in addition to the present ½ and ⅕) and multiples thereof

In addition, after the initial 210000 blocks, generation will be reduced to 33.93554406716 BTC (4,398,046,511,104 new-base-units, which divides cleanly by 2 until exhausted) instead of the current 25 BTC.

• Inflation is increased. New mining reward is adjusted for this inflation, but all 50 BTC mining is devalued slightly over a long period of time.
• There are now a total of 24,752,928.50820579 BTC (3,207,979,534,663,470,000 new-base-units) to ever exist.

Primes

"A"

12 bits remain after 51 amount + 1 sign.

• Four ⅓ divisors
• Two 1⁄7 divisors
• 1⁄11
• 1⁄13
• 1⁄17
• 1⁄19
• 1⁄23
• 1⁄29

"B"

Limit transactions to 5.6 million BTC max. This gives a total of 14 spare bits.

• Same as above, plus:
• 1⁄31
• 1⁄37

Currently, the generation coinbase halves every 210000 blocks. This results in just under 21 million BTC total. However, this can be changed by agreement of a majority of the network...

"A"

• Half the coinbase every 262144 (218) blocks
• Total BTC: Just under 55.5 billion

Deprecated solutions

62/64-bit

"A"

• Satoshi × 2304 (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3)
• 21.47483648 BTC rewards

"C"

• Satoshi × 2187 (3 × 3 × 3 × 3 × 3 × 3 × 3)