He first made the remark in his December 1963 Fischer Talks Chess column in the US federation's magazine Chess Life.
Fischer made the assessment based on his experience and judgment - there was little chance in those days of backing up such an assertion with meaningful statistics.
Today the situation is different, as ChessBase's 2025 Mega database reminds us.
I have used it discover what the statistics say about White's best move in modern chess.
I called up games played in the last five years - a massive 2,212,990 of them.
They include players of all abilities, but it is probably fair to say such a collection is skewed to above-average chess in that casual games and many club matches are excluded.
The first surprise is that in those games White scores only 53%, whereas it is often stated that in large databases White scores 55%, or, at worst, 54%.
In those games White had an average rating of 2122, returning an average performance of 2133 - again a lower figure than I expected.
It turns out that in modern chess, as defined above, 1.e4 scores just 52%, while 1.d4 pips it with 53%, but both moves lag behind 1.c4 (55%) and 1.Nf3 (56%).
Also doing relatively well is 1.b3 (56%), a move Fischer dabbled with, but all the moves pale in comparison with 1.h4 (60%), 1.a3 (61%) and 1.a4 (62%).
By now alarm bells should be ringing - clearly raw percentages are not enough to go on.
Luckily chess, unlike most sports, has a well-developed rating system that should give more-informative results.
For example 1.a4, which scores 62%, gives a rating performance of -63. In other words, whites performed at 63 elo below their average rating.
Also doing badly is the other flanking pawn thrust, 1.h4, whose 60% score comes at the price of a -7 rating performance.
In both cases whites must have been on average quite a bit higher rated than the average black.
The move 1.a3 (61%) bucks the trend, at least to an extent, as whites return a +7 rating performance. This is better than the -1 of the 56%-scoring 1.b3 and the +2 of the also 56%-scoring 1.Nf3.
But the three traditional pawn thrusts do best, with 1.c4 (55%) performing at +17, 1.d4 (53%) at +19 and 1.e4 (52%) at +21.
It seems Fischer may have been right all along.
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